Finding the Third Proportional to 1,505.81 and 2,309.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.81 : 2,309.91 = 2,309.91 : x
2. Step 2: Convert to fraction form
   1,505.81/2,309.91 = 2,309.91/x
3. Step 3: Cross multiply
   1,505.81x = 2,309.91 × 2,309.91
4. Step 4: Simplify right side
   1,505.81x = 5,335,666.88
5. Step 5: Solve for x
   x = 5,335,666.88/1,505.81
6. Step 6: Final answer
   x = 3,543.38