Finding the Third Proportional to 31,537 and 52,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,537 : 52,559.50 = 52,559.50 : x
2. Step 2: Convert to fraction form
   31,537/52,559.50 = 52,559.50/x
3. Step 3: Cross multiply
   31,537x = 52,559.50 × 52,559.50
4. Step 4: Simplify right side
   31,537x = 2,762,501,040.25
5. Step 5: Solve for x
   x = 2,762,501,040.25/31,537
6. Step 6: Final answer
   x = 87,595.56