Finding the Third Proportional to 9,902 and 21,788

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902 : 21,788 = 21,788 : x
2. Step 2: Convert to fraction form
   9,902/21,788 = 21,788/x
3. Step 3: Cross multiply
   9,902x = 21,788 × 21,788
4. Step 4: Simplify right side
   9,902x = 474,716,944
5. Step 5: Solve for x
   x = 474,716,944/9,902
6. Step 6: Final answer
   x = 47,941.52