Finding the Third Proportional to 31,457 and 42,747

Step by Step Solution

1. Step 1: Write the proportion equation
   31,457 : 42,747 = 42,747 : x
2. Step 2: Convert to fraction form
   31,457/42,747 = 42,747/x
3. Step 3: Cross multiply
   31,457x = 42,747 × 42,747
4. Step 4: Simplify right side
   31,457x = 1,827,306,009
5. Step 5: Solve for x
   x = 1,827,306,009/31,457
6. Step 6: Final answer
   x = 58,089.01