Finding the Third Proportional to 1,053.84 and 1,366.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.84 : 1,366.03 = 1,366.03 : x
2. Step 2: Convert to fraction form
   1,053.84/1,366.03 = 1,366.03/x
3. Step 3: Cross multiply
   1,053.84x = 1,366.03 × 1,366.03
4. Step 4: Simplify right side
   1,053.84x = 1,866,041.38
5. Step 5: Solve for x
   x = 1,866,041.38/1,053.84
6. Step 6: Final answer
   x = 1,770.70