Finding the Third Proportional to 23,406 and 48,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,406 : 48,755.50 = 48,755.50 : x
2. Step 2: Convert to fraction form
   23,406/48,755.50 = 48,755.50/x
3. Step 3: Cross multiply
   23,406x = 48,755.50 × 48,755.50
4. Step 4: Simplify right side
   23,406x = 2,377,098,780.25
5. Step 5: Solve for x
   x = 2,377,098,780.25/23,406
6. Step 6: Final answer
   x = 101,559.38