Finding the Third Proportional to 31,616 and 42,426

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 42,426 = 42,426 : x
2. Step 2: Convert to fraction form
   31,616/42,426 = 42,426/x
3. Step 3: Cross multiply
   31,616x = 42,426 × 42,426
4. Step 4: Simplify right side
   31,616x = 1,799,965,476
5. Step 5: Solve for x
   x = 1,799,965,476/31,616
6. Step 6: Final answer
   x = 56,932.11