Finding the Third Proportional to 45,200 and 69,144

Step by Step Solution

1. Step 1: Write the proportion equation
   45,200 : 69,144 = 69,144 : x
2. Step 2: Convert to fraction form
   45,200/69,144 = 69,144/x
3. Step 3: Cross multiply
   45,200x = 69,144 × 69,144
4. Step 4: Simplify right side
   45,200x = 4,780,892,736
5. Step 5: Solve for x
   x = 4,780,892,736/45,200
6. Step 6: Final answer
   x = 105,771.96