Finding the Third Proportional to 10,629 and 22,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629 : 22,612.50 = 22,612.50 : x
2. Step 2: Convert to fraction form
   10,629/22,612.50 = 22,612.50/x
3. Step 3: Cross multiply
   10,629x = 22,612.50 × 22,612.50
4. Step 4: Simplify right side
   10,629x = 511,325,156.25
5. Step 5: Solve for x
   x = 511,325,156.25/10,629
6. Step 6: Final answer
   x = 48,106.61