Finding the Third Proportional to 31,713.75 and 69,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,713.75 : 69,705.25 = 69,705.25 : x
2. Step 2: Convert to fraction form
   31,713.75/69,705.25 = 69,705.25/x
3. Step 3: Cross multiply
   31,713.75x = 69,705.25 × 69,705.25
4. Step 4: Simplify right side
   31,713.75x = 4,858,821,877.56
5. Step 5: Solve for x
   x = 4,858,821,877.56/31,713.75
6. Step 6: Final answer
   x = 153,208.68