Finding the Third Proportional to 1,173.38 and 2,498.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,173.38 : 2,498.63 = 2,498.63 : x
2. Step 2: Convert to fraction form
   1,173.38/2,498.63 = 2,498.63/x
3. Step 3: Cross multiply
   1,173.38x = 2,498.63 × 2,498.63
4. Step 4: Simplify right side
   1,173.38x = 6,243,126.89
5. Step 5: Solve for x
   x = 6,243,126.89/1,173.38
6. Step 6: Final answer
   x = 5,320.66