Finding the Third Proportional to 13,732.50 and 31,739.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,732.50 : 31,739.25 = 31,739.25 : x
2. Step 2: Convert to fraction form
   13,732.50/31,739.25 = 31,739.25/x
3. Step 3: Cross multiply
   13,732.50x = 31,739.25 × 31,739.25
4. Step 4: Simplify right side
   13,732.50x = 1,007,379,990.56
5. Step 5: Solve for x
   x = 1,007,379,990.56/13,732.50
6. Step 6: Final answer
   x = 73,357.36