Finding the Third Proportional to 31,632 and 67,158

Step by Step Solution

1. Step 1: Write the proportion equation
   31,632 : 67,158 = 67,158 : x
2. Step 2: Convert to fraction form
   31,632/67,158 = 67,158/x
3. Step 3: Cross multiply
   31,632x = 67,158 × 67,158
4. Step 4: Simplify right side
   31,632x = 4,510,196,964
5. Step 5: Solve for x
   x = 4,510,196,964/31,632
6. Step 6: Final answer
   x = 142,583.36