Finding the Third Proportional to 2,977.38 and 4,614.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,977.38 : 4,614.88 = 4,614.88 : x
2. Step 2: Convert to fraction form
   2,977.38/4,614.88 = 4,614.88/x
3. Step 3: Cross multiply
   2,977.38x = 4,614.88 × 4,614.88
4. Step 4: Simplify right side
   2,977.38x = 21,297,071.27
5. Step 5: Solve for x
   x = 21,297,071.27/2,977.38
6. Step 6: Final answer
   x = 7,152.97