Finding the Third Proportional to 35,527.50 and 76,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,527.50 : 76,747.50 = 76,747.50 : x
2. Step 2: Convert to fraction form
   35,527.50/76,747.50 = 76,747.50/x
3. Step 3: Cross multiply
   35,527.50x = 76,747.50 × 76,747.50
4. Step 4: Simplify right side
   35,527.50x = 5,890,178,756.25
5. Step 5: Solve for x
   x = 5,890,178,756.25/35,527.50
6. Step 6: Final answer
   x = 165,792.10