Finding the Third Proportional to 23,200 and 33,140

Step by Step Solution

1. Step 1: Write the proportion equation
   23,200 : 33,140 = 33,140 : x
2. Step 2: Convert to fraction form
   23,200/33,140 = 33,140/x
3. Step 3: Cross multiply
   23,200x = 33,140 × 33,140
4. Step 4: Simplify right side
   23,200x = 1,098,259,600
5. Step 5: Solve for x
   x = 1,098,259,600/23,200
6. Step 6: Final answer
   x = 47,338.78