Finding the Third Proportional to 9,200 and 18,160

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 18,160 = 18,160 : x
2. Step 2: Convert to fraction form
   9,200/18,160 = 18,160/x
3. Step 3: Cross multiply
   9,200x = 18,160 × 18,160
4. Step 4: Simplify right side
   9,200x = 329,785,600
5. Step 5: Solve for x
   x = 329,785,600/9,200
6. Step 6: Final answer
   x = 35,846.26