Finding the Third Proportional to 35,268.75 and 77,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,268.75 : 77,017.50 = 77,017.50 : x
2. Step 2: Convert to fraction form
   35,268.75/77,017.50 = 77,017.50/x
3. Step 3: Cross multiply
   35,268.75x = 77,017.50 × 77,017.50
4. Step 4: Simplify right side
   35,268.75x = 5,931,695,306.25
5. Step 5: Solve for x
   x = 5,931,695,306.25/35,268.75
6. Step 6: Final answer
   x = 168,185.58