Finding the Third Proportional to 33,883.50 and 49,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,883.50 : 49,320 = 49,320 : x
2. Step 2: Convert to fraction form
   33,883.50/49,320 = 49,320/x
3. Step 3: Cross multiply
   33,883.50x = 49,320 × 49,320
4. Step 4: Simplify right side
   33,883.50x = 2,432,462,400
5. Step 5: Solve for x
   x = 2,432,462,400/33,883.50
6. Step 6: Final answer
   x = 71,788.99