Finding the Third Proportional to 13,401 and 31,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,401 : 31,588.50 = 31,588.50 : x
2. Step 2: Convert to fraction form
   13,401/31,588.50 = 31,588.50/x
3. Step 3: Cross multiply
   13,401x = 31,588.50 × 31,588.50
4. Step 4: Simplify right side
   13,401x = 997,833,332.25
5. Step 5: Solve for x
   x = 997,833,332.25/13,401
6. Step 6: Final answer
   x = 74,459.62