Finding the Third Proportional to 4,684.69 and 9,976.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684.69 : 9,976.27 = 9,976.27 : x
2. Step 2: Convert to fraction form
   4,684.69/9,976.27 = 9,976.27/x
3. Step 3: Cross multiply
   4,684.69x = 9,976.27 × 9,976.27
4. Step 4: Simplify right side
   4,684.69x = 99,525,875.82
5. Step 5: Solve for x
   x = 99,525,875.82/4,684.69
6. Step 6: Final answer
   x = 21,244.93