Finding the Third Proportional to 12,834 and 29,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 29,815.50 = 29,815.50 : x
2. Step 2: Convert to fraction form
   12,834/29,815.50 = 29,815.50/x
3. Step 3: Cross multiply
   12,834x = 29,815.50 × 29,815.50
4. Step 4: Simplify right side
   12,834x = 888,964,040.25
5. Step 5: Solve for x
   x = 888,964,040.25/12,834
6. Step 6: Final answer
   x = 69,266.33