Finding the Third Proportional to 36,516 and 57,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,516 : 57,772.25 = 57,772.25 : x
2. Step 2: Convert to fraction form
   36,516/57,772.25 = 57,772.25/x
3. Step 3: Cross multiply
   36,516x = 57,772.25 × 57,772.25
4. Step 4: Simplify right side
   36,516x = 3,337,632,870.06
5. Step 5: Solve for x
   x = 3,337,632,870.06/36,516
6. Step 6: Final answer
   x = 91,401.93