Finding the Third Proportional to 31,202 and 42,035

Step by Step Solution

1. Step 1: Write the proportion equation
   31,202 : 42,035 = 42,035 : x
2. Step 2: Convert to fraction form
   31,202/42,035 = 42,035/x
3. Step 3: Cross multiply
   31,202x = 42,035 × 42,035
4. Step 4: Simplify right side
   31,202x = 1,766,941,225
5. Step 5: Solve for x
   x = 1,766,941,225/31,202
6. Step 6: Final answer
   x = 56,629.10