Finding the Third Proportional to 1,114.13 and 1,490.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.13 : 1,490.63 = 1,490.63 : x
2. Step 2: Convert to fraction form
   1,114.13/1,490.63 = 1,490.63/x
3. Step 3: Cross multiply
   1,114.13x = 1,490.63 × 1,490.63
4. Step 4: Simplify right side
   1,114.13x = 2,221,962.89
5. Step 5: Solve for x
   x = 2,221,962.89/1,114.13
6. Step 6: Final answer
   x = 1,994.36