Finding the Third Proportional to 31,739.25 and 75,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,739.25 : 75,196.50 = 75,196.50 : x
2. Step 2: Convert to fraction form
   31,739.25/75,196.50 = 75,196.50/x
3. Step 3: Cross multiply
   31,739.25x = 75,196.50 × 75,196.50
4. Step 4: Simplify right side
   31,739.25x = 5,654,513,612.25
5. Step 5: Solve for x
   x = 5,654,513,612.25/31,739.25
6. Step 6: Final answer
   x = 178,155.24