Finding the Third Proportional to 7,463 and 10,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,463 : 10,099.50 = 10,099.50 : x
2. Step 2: Convert to fraction form
   7,463/10,099.50 = 10,099.50/x
3. Step 3: Cross multiply
   7,463x = 10,099.50 × 10,099.50
4. Step 4: Simplify right side
   7,463x = 101,999,900.25
5. Step 5: Solve for x
   x = 101,999,900.25/7,463
6. Step 6: Final answer
   x = 13,667.41