Finding the Third Proportional to 2,505.75 and 5,438.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.75 : 5,438.63 = 5,438.63 : x
2. Step 2: Convert to fraction form
   2,505.75/5,438.63 = 5,438.63/x
3. Step 3: Cross multiply
   2,505.75x = 5,438.63 × 5,438.63
4. Step 4: Simplify right side
   2,505.75x = 29,578,641.89
5. Step 5: Solve for x
   x = 29,578,641.89/2,505.75
6. Step 6: Final answer
   x = 11,804.31