Finding the Third Proportional to 1,864.13 and 2,926.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,864.13 : 2,926.69 = 2,926.69 : x
2. Step 2: Convert to fraction form
   1,864.13/2,926.69 = 2,926.69/x
3. Step 3: Cross multiply
   1,864.13x = 2,926.69 × 2,926.69
4. Step 4: Simplify right side
   1,864.13x = 8,565,499.72
5. Step 5: Solve for x
   x = 8,565,499.72/1,864.13
6. Step 6: Final answer
   x = 4,594.92