Finding the Third Proportional to 31,676 and 42,516

Step by Step Solution

1. Step 1: Write the proportion equation
   31,676 : 42,516 = 42,516 : x
2. Step 2: Convert to fraction form
   31,676/42,516 = 42,516/x
3. Step 3: Cross multiply
   31,676x = 42,516 × 42,516
4. Step 4: Simplify right side
   31,676x = 1,807,610,256
5. Step 5: Solve for x
   x = 1,807,610,256/31,676
6. Step 6: Final answer
   x = 57,065.61