Finding the Third Proportional to 1,688.63 and 2,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.63 : 2,648.25 = 2,648.25 : x
2. Step 2: Convert to fraction form
   1,688.63/2,648.25 = 2,648.25/x
3. Step 3: Cross multiply
   1,688.63x = 2,648.25 × 2,648.25
4. Step 4: Simplify right side
   1,688.63x = 7,013,228.06
5. Step 5: Solve for x
   x = 7,013,228.06/1,688.63
6. Step 6: Final answer
   x = 4,153.22