Finding the Third Proportional to 1,053.84 and 2,141.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.84 : 2,141.86 = 2,141.86 : x
2. Step 2: Convert to fraction form
   1,053.84/2,141.86 = 2,141.86/x
3. Step 3: Cross multiply
   1,053.84x = 2,141.86 × 2,141.86
4. Step 4: Simplify right side
   1,053.84x = 4,587,561.58
5. Step 5: Solve for x
   x = 4,587,561.58/1,053.84
6. Step 6: Final answer
   x = 4,353.17