Finding the Third Proportional to 7,138 and 10,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,138 : 10,145.50 = 10,145.50 : x
2. Step 2: Convert to fraction form
   7,138/10,145.50 = 10,145.50/x
3. Step 3: Cross multiply
   7,138x = 10,145.50 × 10,145.50
4. Step 4: Simplify right side
   7,138x = 102,931,170.25
5. Step 5: Solve for x
   x = 102,931,170.25/7,138
6. Step 6: Final answer
   x = 14,420.17