Finding the Third Proportional to 1,189.13 and 1,547.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.13 : 1,547.72 = 1,547.72 : x
2. Step 2: Convert to fraction form
   1,189.13/1,547.72 = 1,547.72/x
3. Step 3: Cross multiply
   1,189.13x = 1,547.72 × 1,547.72
4. Step 4: Simplify right side
   1,189.13x = 2,395,433.33
5. Step 5: Solve for x
   x = 2,395,433.33/1,189.13
6. Step 6: Final answer
   x = 2,014.45