Finding the Third Proportional to 16,780.50 and 34,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,780.50 : 34,288.50 = 34,288.50 : x
2. Step 2: Convert to fraction form
   16,780.50/34,288.50 = 34,288.50/x
3. Step 3: Cross multiply
   16,780.50x = 34,288.50 × 34,288.50
4. Step 4: Simplify right side
   16,780.50x = 1,175,701,232.25
5. Step 5: Solve for x
   x = 1,175,701,232.25/16,780.50
6. Step 6: Final answer
   x = 70,063.54