Finding the Third Proportional to 35,772 and 49,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,772 : 49,282.50 = 49,282.50 : x
2. Step 2: Convert to fraction form
   35,772/49,282.50 = 49,282.50/x
3. Step 3: Cross multiply
   35,772x = 49,282.50 × 49,282.50
4. Step 4: Simplify right side
   35,772x = 2,428,764,806.25
5. Step 5: Solve for x
   x = 2,428,764,806.25/35,772
6. Step 6: Final answer
   x = 67,895.70