Finding the Third Proportional to 34,400.50 and 75,785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,400.50 : 75,785.25 = 75,785.25 : x
2. Step 2: Convert to fraction form
   34,400.50/75,785.25 = 75,785.25/x
3. Step 3: Cross multiply
   34,400.50x = 75,785.25 × 75,785.25
4. Step 4: Simplify right side
   34,400.50x = 5,743,404,117.56
5. Step 5: Solve for x
   x = 5,743,404,117.56/34,400.50
6. Step 6: Final answer
   x = 166,957.00