Finding the Third Proportional to 1,053.84 and 1,517.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.84 : 1,517.91 = 1,517.91 : x
2. Step 2: Convert to fraction form
   1,053.84/1,517.91 = 1,517.91/x
3. Step 3: Cross multiply
   1,053.84x = 1,517.91 × 1,517.91
4. Step 4: Simplify right side
   1,053.84x = 2,304,039.38
5. Step 5: Solve for x
   x = 2,304,039.38/1,053.84
6. Step 6: Final answer
   x = 2,186.32