Finding the Third Proportional to 34,002 and 52,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 52,519.50 = 52,519.50 : x
2. Step 2: Convert to fraction form
   34,002/52,519.50 = 52,519.50/x
3. Step 3: Cross multiply
   34,002x = 52,519.50 × 52,519.50
4. Step 4: Simplify right side
   34,002x = 2,758,297,880.25
5. Step 5: Solve for x
   x = 2,758,297,880.25/34,002
6. Step 6: Final answer
   x = 81,121.64