Finding the Third Proportional to 31,929.75 and 69,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,929.75 : 69,386.50 = 69,386.50 : x
2. Step 2: Convert to fraction form
   31,929.75/69,386.50 = 69,386.50/x
3. Step 3: Cross multiply
   31,929.75x = 69,386.50 × 69,386.50
4. Step 4: Simplify right side
   31,929.75x = 4,814,486,382.25
5. Step 5: Solve for x
   x = 4,814,486,382.25/31,929.75
6. Step 6: Final answer
   x = 150,783.72