Finding the Third Proportional to 31,680 and 67,041

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 67,041 = 67,041 : x
2. Step 2: Convert to fraction form
   31,680/67,041 = 67,041/x
3. Step 3: Cross multiply
   31,680x = 67,041 × 67,041
4. Step 4: Simplify right side
   31,680x = 4,494,495,681
5. Step 5: Solve for x
   x = 4,494,495,681/31,680
6. Step 6: Final answer
   x = 141,871.71