Finding the Third Proportional to 35,544.75 and 77,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,544.75 : 77,785.50 = 77,785.50 : x
2. Step 2: Convert to fraction form
   35,544.75/77,785.50 = 77,785.50/x
3. Step 3: Cross multiply
   35,544.75x = 77,785.50 × 77,785.50
4. Step 4: Simplify right side
   35,544.75x = 6,050,584,010.25
5. Step 5: Solve for x
   x = 6,050,584,010.25/35,544.75
6. Step 6: Final answer
   x = 170,224.41