Finding the Third Proportional to 7,477.50 and 10,161

Step by Step Solution

1. Step 1: Write the proportion equation
   7,477.50 : 10,161 = 10,161 : x
2. Step 2: Convert to fraction form
   7,477.50/10,161 = 10,161/x
3. Step 3: Cross multiply
   7,477.50x = 10,161 × 10,161
4. Step 4: Simplify right side
   7,477.50x = 103,245,921
5. Step 5: Solve for x
   x = 103,245,921/7,477.50
6. Step 6: Final answer
   x = 13,807.55