Finding the Third Proportional to 1,077.38 and 1,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.38 : 1,663.69 = 1,663.69 : x
2. Step 2: Convert to fraction form
   1,077.38/1,663.69 = 1,663.69/x
3. Step 3: Cross multiply
   1,077.38x = 1,663.69 × 1,663.69
4. Step 4: Simplify right side
   1,077.38x = 2,767,856.10
5. Step 5: Solve for x
   x = 2,767,856.10/1,077.38
6. Step 6: Final answer
   x = 2,569.07