Finding the Third Proportional to 31,133 and 68,314

Step by Step Solution

1. Step 1: Write the proportion equation
   31,133 : 68,314 = 68,314 : x
2. Step 2: Convert to fraction form
   31,133/68,314 = 68,314/x
3. Step 3: Cross multiply
   31,133x = 68,314 × 68,314
4. Step 4: Simplify right side
   31,133x = 4,666,802,596
5. Step 5: Solve for x
   x = 4,666,802,596/31,133
6. Step 6: Final answer
   x = 149,898.90