Finding the Third Proportional to 31,610 and 42,417

Step by Step Solution

1. Step 1: Write the proportion equation
   31,610 : 42,417 = 42,417 : x
2. Step 2: Convert to fraction form
   31,610/42,417 = 42,417/x
3. Step 3: Cross multiply
   31,610x = 42,417 × 42,417
4. Step 4: Simplify right side
   31,610x = 1,799,201,889
5. Step 5: Solve for x
   x = 1,799,201,889/31,610
6. Step 6: Final answer
   x = 56,918.76