Finding the Third Proportional to 35,005.50 and 76,815.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,005.50 : 76,815.25 = 76,815.25 : x
2. Step 2: Convert to fraction form
   35,005.50/76,815.25 = 76,815.25/x
3. Step 3: Cross multiply
   35,005.50x = 76,815.25 × 76,815.25
4. Step 4: Simplify right side
   35,005.50x = 5,900,582,632.56
5. Step 5: Solve for x
   x = 5,900,582,632.56/35,005.50
6. Step 6: Final answer
   x = 168,561.59