Finding the Third Proportional to 31,854 and 67,506

Step by Step Solution

1. Step 1: Write the proportion equation
   31,854 : 67,506 = 67,506 : x
2. Step 2: Convert to fraction form
   31,854/67,506 = 67,506/x
3. Step 3: Cross multiply
   31,854x = 67,506 × 67,506
4. Step 4: Simplify right side
   31,854x = 4,557,060,036
5. Step 5: Solve for x
   x = 4,557,060,036/31,854
6. Step 6: Final answer
   x = 143,060.84