Finding the Third Proportional to 2,505.38 and 3,814.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.38 : 3,814.88 = 3,814.88 : x
2. Step 2: Convert to fraction form
   2,505.38/3,814.88 = 3,814.88/x
3. Step 3: Cross multiply
   2,505.38x = 3,814.88 × 3,814.88
4. Step 4: Simplify right side
   2,505.38x = 14,553,271.27
5. Step 5: Solve for x
   x = 14,553,271.27/2,505.38
6. Step 6: Final answer
   x = 5,808.82