Finding the Third Proportional to 1,097.50 and 2,435

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.50 : 2,435 = 2,435 : x
2. Step 2: Convert to fraction form
   1,097.50/2,435 = 2,435/x
3. Step 3: Cross multiply
   1,097.50x = 2,435 × 2,435
4. Step 4: Simplify right side
   1,097.50x = 5,929,225
5. Step 5: Solve for x
   x = 5,929,225/1,097.50
6. Step 6: Final answer
   x = 5,402.48