Finding the Third Proportional to 13,537.50 and 31,337.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,537.50 : 31,337.25 = 31,337.25 : x
2. Step 2: Convert to fraction form
   13,537.50/31,337.25 = 31,337.25/x
3. Step 3: Cross multiply
   13,537.50x = 31,337.25 × 31,337.25
4. Step 4: Simplify right side
   13,537.50x = 982,023,237.56
5. Step 5: Solve for x
   x = 982,023,237.56/13,537.50
6. Step 6: Final answer
   x = 72,540.96