Finding the Third Proportional to 1,166.63 and 2,527.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.63 : 2,527.59 = 2,527.59 : x
2. Step 2: Convert to fraction form
   1,166.63/2,527.59 = 2,527.59/x
3. Step 3: Cross multiply
   1,166.63x = 2,527.59 × 2,527.59
4. Step 4: Simplify right side
   1,166.63x = 6,388,730.17
5. Step 5: Solve for x
   x = 6,388,730.17/1,166.63
6. Step 6: Final answer
   x = 5,476.25