Finding the Third Proportional to 7,350 and 10,501

Step by Step Solution

1. Step 1: Write the proportion equation
   7,350 : 10,501 = 10,501 : x
2. Step 2: Convert to fraction form
   7,350/10,501 = 10,501/x
3. Step 3: Cross multiply
   7,350x = 10,501 × 10,501
4. Step 4: Simplify right side
   7,350x = 110,271,001
5. Step 5: Solve for x
   x = 110,271,001/7,350
6. Step 6: Final answer
   x = 15,002.86