Finding the Third Proportional to 34,884 and 49,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,884 : 49,819.50 = 49,819.50 : x
2. Step 2: Convert to fraction form
   34,884/49,819.50 = 49,819.50/x
3. Step 3: Cross multiply
   34,884x = 49,819.50 × 49,819.50
4. Step 4: Simplify right side
   34,884x = 2,481,982,580.25
5. Step 5: Solve for x
   x = 2,481,982,580.25/34,884
6. Step 6: Final answer
   x = 71,149.60