Finding the Third Proportional to 31,502 and 42,033

Step by Step Solution

1. Step 1: Write the proportion equation
   31,502 : 42,033 = 42,033 : x
2. Step 2: Convert to fraction form
   31,502/42,033 = 42,033/x
3. Step 3: Cross multiply
   31,502x = 42,033 × 42,033
4. Step 4: Simplify right side
   31,502x = 1,766,773,089
5. Step 5: Solve for x
   x = 1,766,773,089/31,502
6. Step 6: Final answer
   x = 56,084.47