Finding the Third Proportional to 31,592 and 42,776

Step by Step Solution

1. Step 1: Write the proportion equation
   31,592 : 42,776 = 42,776 : x
2. Step 2: Convert to fraction form
   31,592/42,776 = 42,776/x
3. Step 3: Cross multiply
   31,592x = 42,776 × 42,776
4. Step 4: Simplify right side
   31,592x = 1,829,786,176
5. Step 5: Solve for x
   x = 1,829,786,176/31,592
6. Step 6: Final answer
   x = 57,919.29