Finding the Third Proportional to 31,864 and 68,066

Step by Step Solution

1. Step 1: Write the proportion equation
   31,864 : 68,066 = 68,066 : x
2. Step 2: Convert to fraction form
   31,864/68,066 = 68,066/x
3. Step 3: Cross multiply
   31,864x = 68,066 × 68,066
4. Step 4: Simplify right side
   31,864x = 4,632,980,356
5. Step 5: Solve for x
   x = 4,632,980,356/31,864
6. Step 6: Final answer
   x = 145,398.58