Finding the Third Proportional to 31,578 and 52,624

Step by Step Solution

1. Step 1: Write the proportion equation
   31,578 : 52,624 = 52,624 : x
2. Step 2: Convert to fraction form
   31,578/52,624 = 52,624/x
3. Step 3: Cross multiply
   31,578x = 52,624 × 52,624
4. Step 4: Simplify right side
   31,578x = 2,769,285,376
5. Step 5: Solve for x
   x = 2,769,285,376/31,578
6. Step 6: Final answer
   x = 87,696.67