Finding the Third Proportional to 10,769.34 and 15,736.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.34 : 15,736.22 = 15,736.22 : x
2. Step 2: Convert to fraction form
   10,769.34/15,736.22 = 15,736.22/x
3. Step 3: Cross multiply
   10,769.34x = 15,736.22 × 15,736.22
4. Step 4: Simplify right side
   10,769.34x = 247,628,580.55
5. Step 5: Solve for x
   x = 247,628,580.55/10,769.34
6. Step 6: Final answer
   x = 22,993.84