Finding the Third Proportional to 32,468 and 67,432

Step by Step Solution

1. Step 1: Write the proportion equation
   32,468 : 67,432 = 67,432 : x
2. Step 2: Convert to fraction form
   32,468/67,432 = 67,432/x
3. Step 3: Cross multiply
   32,468x = 67,432 × 67,432
4. Step 4: Simplify right side
   32,468x = 4,547,074,624
5. Step 5: Solve for x
   x = 4,547,074,624/32,468
6. Step 6: Final answer
   x = 140,047.88