Finding the Third Proportional to 9,997,362,123 and 21,499,292,766

Step by Step Solution

1. Step 1: Write the proportion equation
   9,997,362,123 : 21,499,292,766 = 21,499,292,766 : x
2. Step 2: Convert to fraction form
   9,997,362,123/21,499,292,766 = 21,499,292,766/x
3. Step 3: Cross multiply
   9,997,362,123x = 21,499,292,766 × 21,499,292,766
4. Step 4: Simplify right side
   9,997,362,123x = 462,219,589,438,179,901,440
5. Step 5: Solve for x
   x = 462,219,589,438,179,901,440/9,997,362,123
6. Step 6: Final answer
   x = 46,234,154,945.21