Finding the Third Proportional to 5,868.50 and 8,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,868.50 : 8,772.50 = 8,772.50 : x
2. Step 2: Convert to fraction form
   5,868.50/8,772.50 = 8,772.50/x
3. Step 3: Cross multiply
   5,868.50x = 8,772.50 × 8,772.50
4. Step 4: Simplify right side
   5,868.50x = 76,956,756.25
5. Step 5: Solve for x
   x = 76,956,756.25/5,868.50
6. Step 6: Final answer
   x = 13,113.53