Finding the Third Proportional to 35,176.50 and 74,966.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,176.50 : 74,966.25 = 74,966.25 : x
2. Step 2: Convert to fraction form
   35,176.50/74,966.25 = 74,966.25/x
3. Step 3: Cross multiply
   35,176.50x = 74,966.25 × 74,966.25
4. Step 4: Simplify right side
   35,176.50x = 5,619,938,639.06
5. Step 5: Solve for x
   x = 5,619,938,639.06/35,176.50
6. Step 6: Final answer
   x = 159,764.01