Finding the Third Proportional to 31,432 and 67,832

Step by Step Solution

1. Step 1: Write the proportion equation
   31,432 : 67,832 = 67,832 : x
2. Step 2: Convert to fraction form
   31,432/67,832 = 67,832/x
3. Step 3: Cross multiply
   31,432x = 67,832 × 67,832
4. Step 4: Simplify right side
   31,432x = 4,601,180,224
5. Step 5: Solve for x
   x = 4,601,180,224/31,432
6. Step 6: Final answer
   x = 146,385.22