Finding the Third Proportional to 4,736.81 and 7,106.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,736.81 : 7,106.06 = 7,106.06 : x
2. Step 2: Convert to fraction form
   4,736.81/7,106.06 = 7,106.06/x
3. Step 3: Cross multiply
   4,736.81x = 7,106.06 × 7,106.06
4. Step 4: Simplify right side
   4,736.81x = 50,496,124.25
5. Step 5: Solve for x
   x = 50,496,124.25/4,736.81
6. Step 6: Final answer
   x = 10,660.36