Finding the Third Proportional to 7,034 and 10,553

Step by Step Solution

1. Step 1: Write the proportion equation
   7,034 : 10,553 = 10,553 : x
2. Step 2: Convert to fraction form
   7,034/10,553 = 10,553/x
3. Step 3: Cross multiply
   7,034x = 10,553 × 10,553
4. Step 4: Simplify right side
   7,034x = 111,365,809
5. Step 5: Solve for x
   x = 111,365,809/7,034
6. Step 6: Final answer
   x = 15,832.50