Finding the Third Proportional to 1,097 and 1,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097 : 1,642.50 = 1,642.50 : x
2. Step 2: Convert to fraction form
   1,097/1,642.50 = 1,642.50/x
3. Step 3: Cross multiply
   1,097x = 1,642.50 × 1,642.50
4. Step 4: Simplify right side
   1,097x = 2,697,806.25
5. Step 5: Solve for x
   x = 2,697,806.25/1,097
6. Step 6: Final answer
   x = 2,459.26