Finding the Third Proportional to 1,555.14 and 2,301.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,555.14 : 2,301.86 = 2,301.86 : x
2. Step 2: Convert to fraction form
   1,555.14/2,301.86 = 2,301.86/x
3. Step 3: Cross multiply
   1,555.14x = 2,301.86 × 2,301.86
4. Step 4: Simplify right side
   1,555.14x = 5,298,538.60
5. Step 5: Solve for x
   x = 5,298,538.60/1,555.14
6. Step 6: Final answer
   x = 3,407.12