Finding the Third Proportional to 718 and 1,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   718 : 1,097.50 = 1,097.50 : x
2. Step 2: Convert to fraction form
   718/1,097.50 = 1,097.50/x
3. Step 3: Cross multiply
   718x = 1,097.50 × 1,097.50
4. Step 4: Simplify right side
   718x = 1,204,506.25
5. Step 5: Solve for x
   x = 1,204,506.25/718
6. Step 6: Final answer
   x = 1,677.59