Finding the Third Proportional to 1,098 and 1,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098 : 1,570.50 = 1,570.50 : x
2. Step 2: Convert to fraction form
   1,098/1,570.50 = 1,570.50/x
3. Step 3: Cross multiply
   1,098x = 1,570.50 × 1,570.50
4. Step 4: Simplify right side
   1,098x = 2,466,470.25
5. Step 5: Solve for x
   x = 2,466,470.25/1,098
6. Step 6: Final answer
   x = 2,246.33