Finding the Third Proportional to 9,616.50 and 21,123

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.50 : 21,123 = 21,123 : x
2. Step 2: Convert to fraction form
   9,616.50/21,123 = 21,123/x
3. Step 3: Cross multiply
   9,616.50x = 21,123 × 21,123
4. Step 4: Simplify right side
   9,616.50x = 446,181,129
5. Step 5: Solve for x
   x = 446,181,129/9,616.50
6. Step 6: Final answer
   x = 46,397.46