Finding the Third Proportional to 69,585.75 and 105,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,585.75 : 105,023.25 = 105,023.25 : x
2. Step 2: Convert to fraction form
   69,585.75/105,023.25 = 105,023.25/x
3. Step 3: Cross multiply
   69,585.75x = 105,023.25 × 105,023.25
4. Step 4: Simplify right side
   69,585.75x = 11,029,883,040.56
5. Step 5: Solve for x
   x = 11,029,883,040.56/69,585.75
6. Step 6: Final answer
   x = 158,507.78