Finding the Third Proportional to 23,200 and 43,328

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 43,328 = 43,328 : x
2. Step 2: Convert to fraction form
   23,200/43,328 = 43,328/x
3. Step 3: Cross multiply
   23,200x = 43,328 × 43,328
4. Step 4: Simplify right side
   23,200x = 1,877,315,584
5. Step 5: Solve for x
   x = 1,877,315,584/23,200
6. Step 6: Final answer
   x = 80,918.78