Finding the Third Proportional to 35,633.25 and 78,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,633.25 : 78,414.75 = 78,414.75 : x
2. Step 2: Convert to fraction form
   35,633.25/78,414.75 = 78,414.75/x
3. Step 3: Cross multiply
   35,633.25x = 78,414.75 × 78,414.75
4. Step 4: Simplify right side
   35,633.25x = 6,148,873,017.56
5. Step 5: Solve for x
   x = 6,148,873,017.56/35,633.25
6. Step 6: Final answer
   x = 172,559.98