Finding the Third Proportional to 31,578.75 and 69,100.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,578.75 : 69,100.31 = 69,100.31 : x
2. Step 2: Convert to fraction form
   31,578.75/69,100.31 = 69,100.31/x
3. Step 3: Cross multiply
   31,578.75x = 69,100.31 × 69,100.31
4. Step 4: Simplify right side
   31,578.75x = 4,774,853,187.60
5. Step 5: Solve for x
   x = 4,774,853,187.60/31,578.75
6. Step 6: Final answer
   x = 151,204.63