Finding the Third Proportional to 35,255.25 and 75,633.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,255.25 : 75,633.75 = 75,633.75 : x
2. Step 2: Convert to fraction form
   35,255.25/75,633.75 = 75,633.75/x
3. Step 3: Cross multiply
   35,255.25x = 75,633.75 × 75,633.75
4. Step 4: Simplify right side
   35,255.25x = 5,720,464,139.06
5. Step 5: Solve for x
   x = 5,720,464,139.06/35,255.25
6. Step 6: Final answer
   x = 162,258.50