Finding the Third Proportional to 4,529.67 and 7,977.23

Step by Step Solution

1. Step 1: Write the proportion equation
   4,529.67 : 7,977.23 = 7,977.23 : x
2. Step 2: Convert to fraction form
   4,529.67/7,977.23 = 7,977.23/x
3. Step 3: Cross multiply
   4,529.67x = 7,977.23 × 7,977.23
4. Step 4: Simplify right side
   4,529.67x = 63,636,268.27
5. Step 5: Solve for x
   x = 63,636,268.27/4,529.67
6. Step 6: Final answer
   x = 14,048.76