Finding the Third Proportional to 31,591 and 52,642

Step by Step Solution

1. Step 1: Write the proportion equation
   31,591 : 52,642 = 52,642 : x
2. Step 2: Convert to fraction form
   31,591/52,642 = 52,642/x
3. Step 3: Cross multiply
   31,591x = 52,642 × 52,642
4. Step 4: Simplify right side
   31,591x = 2,771,180,164
5. Step 5: Solve for x
   x = 2,771,180,164/31,591
6. Step 6: Final answer
   x = 87,720.56