Finding the Third Proportional to 16,069.50 and 34,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,069.50 : 34,738.50 = 34,738.50 : x
2. Step 2: Convert to fraction form
   16,069.50/34,738.50 = 34,738.50/x
3. Step 3: Cross multiply
   16,069.50x = 34,738.50 × 34,738.50
4. Step 4: Simplify right side
   16,069.50x = 1,206,763,382.25
5. Step 5: Solve for x
   x = 1,206,763,382.25/16,069.50
6. Step 6: Final answer
   x = 75,096.51