Finding the Third Proportional to 31,610 and 42,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,610 : 42,416 = 42,416 : x
2. Step 2: Convert to fraction form
   31,610/42,416 = 42,416/x
3. Step 3: Cross multiply
   31,610x = 42,416 × 42,416
4. Step 4: Simplify right side
   31,610x = 1,799,117,056
5. Step 5: Solve for x
   x = 1,799,117,056/31,610
6. Step 6: Final answer
   x = 56,916.07