Finding the Third Proportional to 1,102.50 and 1,622.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102.50 : 1,622.81 = 1,622.81 : x
2. Step 2: Convert to fraction form
   1,102.50/1,622.81 = 1,622.81/x
3. Step 3: Cross multiply
   1,102.50x = 1,622.81 × 1,622.81
4. Step 4: Simplify right side
   1,102.50x = 2,633,520.41
5. Step 5: Solve for x
   x = 2,633,520.41/1,102.50
6. Step 6: Final answer
   x = 2,388.68