Finding the Third Proportional to 31,117 and 68,281

Step by Step Solution

1. Step 1: Write the proportion equation
   31,117 : 68,281 = 68,281 : x
2. Step 2: Convert to fraction form
   31,117/68,281 = 68,281/x
3. Step 3: Cross multiply
   31,117x = 68,281 × 68,281
4. Step 4: Simplify right side
   31,117x = 4,662,294,961
5. Step 5: Solve for x
   x = 4,662,294,961/31,117
6. Step 6: Final answer
   x = 149,831.12