Finding the Third Proportional to 2,598.75 and 4,156.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.75 : 4,156.88 = 4,156.88 : x
2. Step 2: Convert to fraction form
   2,598.75/4,156.88 = 4,156.88/x
3. Step 3: Cross multiply
   2,598.75x = 4,156.88 × 4,156.88
4. Step 4: Simplify right side
   2,598.75x = 17,279,609.77
5. Step 5: Solve for x
   x = 17,279,609.77/2,598.75
6. Step 6: Final answer
   x = 6,649.20