Finding the Third Proportional to 38,286 and 57,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,286 : 57,469.50 = 57,469.50 : x
2. Step 2: Convert to fraction form
   38,286/57,469.50 = 57,469.50/x
3. Step 3: Cross multiply
   38,286x = 57,469.50 × 57,469.50
4. Step 4: Simplify right side
   38,286x = 3,302,743,430.25
5. Step 5: Solve for x
   x = 3,302,743,430.25/38,286
6. Step 6: Final answer
   x = 86,265.04