Finding the Third Proportional to 5,002.50 and 8,337.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002.50 : 8,337.75 = 8,337.75 : x
2. Step 2: Convert to fraction form
   5,002.50/8,337.75 = 8,337.75/x
3. Step 3: Cross multiply
   5,002.50x = 8,337.75 × 8,337.75
4. Step 4: Simplify right side
   5,002.50x = 69,518,075.06
5. Step 5: Solve for x
   x = 69,518,075.06/5,002.50
6. Step 6: Final answer
   x = 13,896.67