Finding the Third Proportional to 1,104.89 and 1,547.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,104.89 : 1,547.86 = 1,547.86 : x
2. Step 2: Convert to fraction form
   1,104.89/1,547.86 = 1,547.86/x
3. Step 3: Cross multiply
   1,104.89x = 1,547.86 × 1,547.86
4. Step 4: Simplify right side
   1,104.89x = 2,395,868.64
5. Step 5: Solve for x
   x = 2,395,868.64/1,104.89
6. Step 6: Final answer
   x = 2,168.42