Finding the Third Proportional to 2,925 and 3,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,925 : 3,964.50 = 3,964.50 : x
2. Step 2: Convert to fraction form
   2,925/3,964.50 = 3,964.50/x
3. Step 3: Cross multiply
   2,925x = 3,964.50 × 3,964.50
4. Step 4: Simplify right side
   2,925x = 15,717,260.25
5. Step 5: Solve for x
   x = 15,717,260.25/2,925
6. Step 6: Final answer
   x = 5,373.42