Finding the Third Proportional to 35,010.75 and 76,824.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,010.75 : 76,824.38 = 76,824.38 : x
2. Step 2: Convert to fraction form
   35,010.75/76,824.38 = 76,824.38/x
3. Step 3: Cross multiply
   35,010.75x = 76,824.38 × 76,824.38
4. Step 4: Simplify right side
   35,010.75x = 5,901,984,594.14
5. Step 5: Solve for x
   x = 5,901,984,594.14/35,010.75
6. Step 6: Final answer
   x = 168,576.35