Finding the Third Proportional to 32,542 and 67,658

Step by Step Solution

1. Step 1: Write the proportion equation
   32,542 : 67,658 = 67,658 : x
2. Step 2: Convert to fraction form
   32,542/67,658 = 67,658/x
3. Step 3: Cross multiply
   32,542x = 67,658 × 67,658
4. Step 4: Simplify right side
   32,542x = 4,577,604,964
5. Step 5: Solve for x
   x = 4,577,604,964/32,542
6. Step 6: Final answer
   x = 140,667.60