Finding the Third Proportional to 2,925 and 5,427.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,925 : 5,427.56 = 5,427.56 : x
2. Step 2: Convert to fraction form
   2,925/5,427.56 = 5,427.56/x
3. Step 3: Cross multiply
   2,925x = 5,427.56 × 5,427.56
4. Step 4: Simplify right side
   2,925x = 29,458,434.69
5. Step 5: Solve for x
   x = 29,458,434.69/2,925
6. Step 6: Final answer
   x = 10,071.26