Finding the Third Proportional to 35,025.75 and 74,972.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,025.75 : 74,972.25 = 74,972.25 : x
2. Step 2: Convert to fraction form
   35,025.75/74,972.25 = 74,972.25/x
3. Step 3: Cross multiply
   35,025.75x = 74,972.25 × 74,972.25
4. Step 4: Simplify right side
   35,025.75x = 5,620,838,270.06
5. Step 5: Solve for x
   x = 5,620,838,270.06/35,025.75
6. Step 6: Final answer
   x = 160,477.31