Finding the Third Proportional to 1,114.86 and 1,669.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.86 : 1,669.20 = 1,669.20 : x
2. Step 2: Convert to fraction form
   1,114.86/1,669.20 = 1,669.20/x
3. Step 3: Cross multiply
   1,114.86x = 1,669.20 × 1,669.20
4. Step 4: Simplify right side
   1,114.86x = 2,786,232.55
5. Step 5: Solve for x
   x = 2,786,232.55/1,114.86
6. Step 6: Final answer
   x = 2,499.18