Finding the Third Proportional to 38,116.50 and 49,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,116.50 : 49,519.50 = 49,519.50 : x
2. Step 2: Convert to fraction form
   38,116.50/49,519.50 = 49,519.50/x
3. Step 3: Cross multiply
   38,116.50x = 49,519.50 × 49,519.50
4. Step 4: Simplify right side
   38,116.50x = 2,452,180,880.25
5. Step 5: Solve for x
   x = 2,452,180,880.25/38,116.50
6. Step 6: Final answer
   x = 64,333.84