Finding the Third Proportional to 1,079.63 and 1,527.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,079.63 : 1,527.75 = 1,527.75 : x
2. Step 2: Convert to fraction form
   1,079.63/1,527.75 = 1,527.75/x
3. Step 3: Cross multiply
   1,079.63x = 1,527.75 × 1,527.75
4. Step 4: Simplify right side
   1,079.63x = 2,334,020.06
5. Step 5: Solve for x
   x = 2,334,020.06/1,079.63
6. Step 6: Final answer
   x = 2,161.88