Finding the Third Proportional to 2,385.75 and 5,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.75 : 5,740.50 = 5,740.50 : x
2. Step 2: Convert to fraction form
   2,385.75/5,740.50 = 5,740.50/x
3. Step 3: Cross multiply
   2,385.75x = 5,740.50 × 5,740.50
4. Step 4: Simplify right side
   2,385.75x = 32,953,340.25
5. Step 5: Solve for x
   x = 32,953,340.25/2,385.75
6. Step 6: Final answer
   x = 13,812.57