Finding the Third Proportional to 1,688.34 and 2,635.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.34 : 2,635.03 = 2,635.03 : x
2. Step 2: Convert to fraction form
   1,688.34/2,635.03 = 2,635.03/x
3. Step 3: Cross multiply
   1,688.34x = 2,635.03 × 2,635.03
4. Step 4: Simplify right side
   1,688.34x = 6,943,389.69
5. Step 5: Solve for x
   x = 6,943,389.69/1,688.34
6. Step 6: Final answer
   x = 4,112.55