Finding the Third Proportional to 47,888.25 and 75,792.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,888.25 : 75,792.75 = 75,792.75 : x
2. Step 2: Convert to fraction form
   47,888.25/75,792.75 = 75,792.75/x
3. Step 3: Cross multiply
   47,888.25x = 75,792.75 × 75,792.75
4. Step 4: Simplify right side
   47,888.25x = 5,744,540,952.56
5. Step 5: Solve for x
   x = 5,744,540,952.56/47,888.25
6. Step 6: Final answer
   x = 119,957.21