Finding the Third Proportional to 7,975.13 and 10,477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,975.13 : 10,477.69 = 10,477.69 : x
2. Step 2: Convert to fraction form
   7,975.13/10,477.69 = 10,477.69/x
3. Step 3: Cross multiply
   7,975.13x = 10,477.69 × 10,477.69
4. Step 4: Simplify right side
   7,975.13x = 109,781,935.35
5. Step 5: Solve for x
   x = 109,781,935.35/7,975.13
6. Step 6: Final answer
   x = 13,765.54