Finding the Third Proportional to 1,158.38 and 2,547.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.38 : 2,547.56 = 2,547.56 : x
2. Step 2: Convert to fraction form
   1,158.38/2,547.56 = 2,547.56/x
3. Step 3: Cross multiply
   1,158.38x = 2,547.56 × 2,547.56
4. Step 4: Simplify right side
   1,158.38x = 6,490,074.69
5. Step 5: Solve for x
   x = 6,490,074.69/1,158.38
6. Step 6: Final answer
   x = 5,602.74