Finding the Third Proportional to 31,510 and 42,045

Step by Step Solution

1. Step 1: Write the proportion equation
   31,510 : 42,045 = 42,045 : x
2. Step 2: Convert to fraction form
   31,510/42,045 = 42,045/x
3. Step 3: Cross multiply
   31,510x = 42,045 × 42,045
4. Step 4: Simplify right side
   31,510x = 1,767,782,025
5. Step 5: Solve for x
   x = 1,767,782,025/31,510
6. Step 6: Final answer
   x = 56,102.25