Finding the Third Proportional to 2,502 and 5,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502 : 5,788.50 = 5,788.50 : x
2. Step 2: Convert to fraction form
   2,502/5,788.50 = 5,788.50/x
3. Step 3: Cross multiply
   2,502x = 5,788.50 × 5,788.50
4. Step 4: Simplify right side
   2,502x = 33,506,732.25
5. Step 5: Solve for x
   x = 33,506,732.25/2,502
6. Step 6: Final answer
   x = 13,391.98