Finding the Third Proportional to 7,542 and 10,077

Step by Step Solution

1. Step 1: Write the proportion equation
   7,542 : 10,077 = 10,077 : x
2. Step 2: Convert to fraction form
   7,542/10,077 = 10,077/x
3. Step 3: Cross multiply
   7,542x = 10,077 × 10,077
4. Step 4: Simplify right side
   7,542x = 101,545,929
5. Step 5: Solve for x
   x = 101,545,929/7,542
6. Step 6: Final answer
   x = 13,464.06