Finding the Third Proportional to 7,406.44 and 9,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,406.44 : 9,976.50 = 9,976.50 : x
2. Step 2: Convert to fraction form
   7,406.44/9,976.50 = 9,976.50/x
3. Step 3: Cross multiply
   7,406.44x = 9,976.50 × 9,976.50
4. Step 4: Simplify right side
   7,406.44x = 99,530,552.25
5. Step 5: Solve for x
   x = 99,530,552.25/7,406.44
6. Step 6: Final answer
   x = 13,438.38