Finding the Third Proportional to 1,760.81 and 2,635.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,760.81 : 2,635.69 = 2,635.69 : x
2. Step 2: Convert to fraction form
   1,760.81/2,635.69 = 2,635.69/x
3. Step 3: Cross multiply
   1,760.81x = 2,635.69 × 2,635.69
4. Step 4: Simplify right side
   1,760.81x = 6,946,848.60
5. Step 5: Solve for x
   x = 6,946,848.60/1,760.81
6. Step 6: Final answer
   x = 3,945.25