Finding the Third Proportional to 7,191 and 10,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,191 : 10,036.50 = 10,036.50 : x
2. Step 2: Convert to fraction form
   7,191/10,036.50 = 10,036.50/x
3. Step 3: Cross multiply
   7,191x = 10,036.50 × 10,036.50
4. Step 4: Simplify right side
   7,191x = 100,731,332.25
5. Step 5: Solve for x
   x = 100,731,332.25/7,191
6. Step 6: Final answer
   x = 14,007.97