Finding the Third Proportional to 1,679.63 and 2,657.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,679.63 : 2,657.25 = 2,657.25 : x
2. Step 2: Convert to fraction form
   1,679.63/2,657.25 = 2,657.25/x
3. Step 3: Cross multiply
   1,679.63x = 2,657.25 × 2,657.25
4. Step 4: Simplify right side
   1,679.63x = 7,060,977.56
5. Step 5: Solve for x
   x = 7,060,977.56/1,679.63
6. Step 6: Final answer
   x = 4,203.90