Finding the Third Proportional to 31,536 and 52,558

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 52,558 = 52,558 : x
2. Step 2: Convert to fraction form
   31,536/52,558 = 52,558/x
3. Step 3: Cross multiply
   31,536x = 52,558 × 52,558
4. Step 4: Simplify right side
   31,536x = 2,762,343,364
5. Step 5: Solve for x
   x = 2,762,343,364/31,536
6. Step 6: Final answer
   x = 87,593.33