Finding the Third Proportional to 2,538.28 and 5,875.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.28 : 5,875.73 = 5,875.73 : x
2. Step 2: Convert to fraction form
   2,538.28/5,875.73 = 5,875.73/x
3. Step 3: Cross multiply
   2,538.28x = 5,875.73 × 5,875.73
4. Step 4: Simplify right side
   2,538.28x = 34,524,254.45
5. Step 5: Solve for x
   x = 34,524,254.45/2,538.28
6. Step 6: Final answer
   x = 13,601.43