Finding the Third Proportional to 1,154.88 and 2,053.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.88 : 2,053.25 = 2,053.25 : x
2. Step 2: Convert to fraction form
   1,154.88/2,053.25 = 2,053.25/x
3. Step 3: Cross multiply
   1,154.88x = 2,053.25 × 2,053.25
4. Step 4: Simplify right side
   1,154.88x = 4,215,835.56
5. Step 5: Solve for x
   x = 4,215,835.56/1,154.88
6. Step 6: Final answer
   x = 3,650.47