Finding the Third Proportional to 7,646.50 and 10,077

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646.50 : 10,077 = 10,077 : x
2. Step 2: Convert to fraction form
   7,646.50/10,077 = 10,077/x
3. Step 3: Cross multiply
   7,646.50x = 10,077 × 10,077
4. Step 4: Simplify right side
   7,646.50x = 101,545,929
5. Step 5: Solve for x
   x = 101,545,929/7,646.50
6. Step 6: Final answer
   x = 13,280.05