Finding the Third Proportional to 31,188 and 66,116

Step by Step Solution

1. Step 1: Write the proportion equation
   31,188 : 66,116 = 66,116 : x
2. Step 2: Convert to fraction form
   31,188/66,116 = 66,116/x
3. Step 3: Cross multiply
   31,188x = 66,116 × 66,116
4. Step 4: Simplify right side
   31,188x = 4,371,325,456
5. Step 5: Solve for x
   x = 4,371,325,456/31,188
6. Step 6: Final answer
   x = 140,160.49