Finding the Third Proportional to 31,381.88 and 68,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,381.88 : 68,982.75 = 68,982.75 : x
2. Step 2: Convert to fraction form
   31,381.88/68,982.75 = 68,982.75/x
3. Step 3: Cross multiply
   31,381.88x = 68,982.75 × 68,982.75
4. Step 4: Simplify right side
   31,381.88x = 4,758,619,797.56
5. Step 5: Solve for x
   x = 4,758,619,797.56/31,381.88
6. Step 6: Final answer
   x = 151,635.93