Finding the Third Proportional to 2,440 and 5,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,440 : 5,897.50 = 5,897.50 : x
2. Step 2: Convert to fraction form
   2,440/5,897.50 = 5,897.50/x
3. Step 3: Cross multiply
   2,440x = 5,897.50 × 5,897.50
4. Step 4: Simplify right side
   2,440x = 34,780,506.25
5. Step 5: Solve for x
   x = 34,780,506.25/2,440
6. Step 6: Final answer
   x = 14,254.31