Finding the Third Proportional to 35,727.75 and 78,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,727.75 : 78,259.50 = 78,259.50 : x
2. Step 2: Convert to fraction form
   35,727.75/78,259.50 = 78,259.50/x
3. Step 3: Cross multiply
   35,727.75x = 78,259.50 × 78,259.50
4. Step 4: Simplify right side
   35,727.75x = 6,124,549,340.25
5. Step 5: Solve for x
   x = 6,124,549,340.25/35,727.75
6. Step 6: Final answer
   x = 171,422.76