Finding the Third Proportional to 1,405.13 and 2,053.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.13 : 2,053.69 = 2,053.69 : x
2. Step 2: Convert to fraction form
   1,405.13/2,053.69 = 2,053.69/x
3. Step 3: Cross multiply
   1,405.13x = 2,053.69 × 2,053.69
4. Step 4: Simplify right side
   1,405.13x = 4,217,632.35
5. Step 5: Solve for x
   x = 4,217,632.35/1,405.13
6. Step 6: Final answer
   x = 3,001.61