Finding the Third Proportional to 1,109 and 1,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109 : 1,623.50 = 1,623.50 : x
2. Step 2: Convert to fraction form
   1,109/1,623.50 = 1,623.50/x
3. Step 3: Cross multiply
   1,109x = 1,623.50 × 1,623.50
4. Step 4: Simplify right side
   1,109x = 2,635,752.25
5. Step 5: Solve for x
   x = 2,635,752.25/1,109
6. Step 6: Final answer
   x = 2,376.69