Finding the Third Proportional to 4,737.38 and 7,106.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,737.38 : 7,106.63 = 7,106.63 : x
2. Step 2: Convert to fraction form
   4,737.38/7,106.63 = 7,106.63/x
3. Step 3: Cross multiply
   4,737.38x = 7,106.63 × 7,106.63
4. Step 4: Simplify right side
   4,737.38x = 50,504,118.89
5. Step 5: Solve for x
   x = 50,504,118.89/4,737.38
6. Step 6: Final answer
   x = 10,660.78