Finding the Third Proportional to 31,632 and 68,164

Step by Step Solution

1. Step 1: Write the proportion equation
   31,632 : 68,164 = 68,164 : x
2. Step 2: Convert to fraction form
   31,632/68,164 = 68,164/x
3. Step 3: Cross multiply
   31,632x = 68,164 × 68,164
4. Step 4: Simplify right side
   31,632x = 4,646,330,896
5. Step 5: Solve for x
   x = 4,646,330,896/31,632
6. Step 6: Final answer
   x = 146,887.04