Finding the Third Proportional to 7,737.75 and 10,067.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,737.75 : 10,067.63 = 10,067.63 : x
2. Step 2: Convert to fraction form
   7,737.75/10,067.63 = 10,067.63/x
3. Step 3: Cross multiply
   7,737.75x = 10,067.63 × 10,067.63
4. Step 4: Simplify right side
   7,737.75x = 101,357,073.14
5. Step 5: Solve for x
   x = 101,357,073.14/7,737.75
6. Step 6: Final answer
   x = 13,099.04