Finding the Third Proportional to 20,182.50 and 48,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,182.50 : 48,755.25 = 48,755.25 : x
2. Step 2: Convert to fraction form
   20,182.50/48,755.25 = 48,755.25/x
3. Step 3: Cross multiply
   20,182.50x = 48,755.25 × 48,755.25
4. Step 4: Simplify right side
   20,182.50x = 2,377,074,402.56
5. Step 5: Solve for x
   x = 2,377,074,402.56/20,182.50
6. Step 6: Final answer
   x = 117,778.99