Finding the Third Proportional to 1,522 and 2,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522 : 2,294.50 = 2,294.50 : x
2. Step 2: Convert to fraction form
   1,522/2,294.50 = 2,294.50/x
3. Step 3: Cross multiply
   1,522x = 2,294.50 × 2,294.50
4. Step 4: Simplify right side
   1,522x = 5,264,730.25
5. Step 5: Solve for x
   x = 5,264,730.25/1,522
6. Step 6: Final answer
   x = 3,459.09