Finding the Third Proportional to 1,167.75 and 2,547.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,167.75 : 2,547.84 = 2,547.84 : x
2. Step 2: Convert to fraction form
   1,167.75/2,547.84 = 2,547.84/x
3. Step 3: Cross multiply
   1,167.75x = 2,547.84 × 2,547.84
4. Step 4: Simplify right side
   1,167.75x = 6,491,507.77
5. Step 5: Solve for x
   x = 6,491,507.77/1,167.75
6. Step 6: Final answer
   x = 5,558.99