Finding the Third Proportional to 1,769.34 and 2,657.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.34 : 2,657.81 = 2,657.81 : x
2. Step 2: Convert to fraction form
   1,769.34/2,657.81 = 2,657.81/x
3. Step 3: Cross multiply
   1,769.34x = 2,657.81 × 2,657.81
4. Step 4: Simplify right side
   1,769.34x = 7,063,967.29
5. Step 5: Solve for x
   x = 7,063,967.29/1,769.34
6. Step 6: Final answer
   x = 3,992.42