Finding the Third Proportional to 1,053.50 and 1,547.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,547.25 = 1,547.25 : x
2. Step 2: Convert to fraction form
   1,053.50/1,547.25 = 1,547.25/x
3. Step 3: Cross multiply
   1,053.50x = 1,547.25 × 1,547.25
4. Step 4: Simplify right side
   1,053.50x = 2,393,982.56
5. Step 5: Solve for x
   x = 2,393,982.56/1,053.50
6. Step 6: Final answer
   x = 2,272.41