Finding the Third Proportional to 1,618.31 and 2,498.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,618.31 : 2,498.98 = 2,498.98 : x
2. Step 2: Convert to fraction form
   1,618.31/2,498.98 = 2,498.98/x
3. Step 3: Cross multiply
   1,618.31x = 2,498.98 × 2,498.98
4. Step 4: Simplify right side
   1,618.31x = 6,244,883.86
5. Step 5: Solve for x
   x = 6,244,883.86/1,618.31
6. Step 6: Final answer
   x = 3,858.89