Finding the Third Proportional to 1,301.06 and 1,770.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.06 : 1,770.61 = 1,770.61 : x
2. Step 2: Convert to fraction form
   1,301.06/1,770.61 = 1,770.61/x
3. Step 3: Cross multiply
   1,301.06x = 1,770.61 × 1,770.61
4. Step 4: Simplify right side
   1,301.06x = 3,135,057.56
5. Step 5: Solve for x
   x = 3,135,057.56/1,301.06
6. Step 6: Final answer
   x = 2,409.61