Finding the Third Proportional to 35,518.50 and 77,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,518.50 : 77,719.50 = 77,719.50 : x
2. Step 2: Convert to fraction form
   35,518.50/77,719.50 = 77,719.50/x
3. Step 3: Cross multiply
   35,518.50x = 77,719.50 × 77,719.50
4. Step 4: Simplify right side
   35,518.50x = 6,040,320,680.25
5. Step 5: Solve for x
   x = 6,040,320,680.25/35,518.50
6. Step 6: Final answer
   x = 170,061.25