Finding the Third Proportional to 12,811.50 and 29,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,811.50 : 29,647.50 = 29,647.50 : x
2. Step 2: Convert to fraction form
   12,811.50/29,647.50 = 29,647.50/x
3. Step 3: Cross multiply
   12,811.50x = 29,647.50 × 29,647.50
4. Step 4: Simplify right side
   12,811.50x = 878,974,256.25
5. Step 5: Solve for x
   x = 878,974,256.25/12,811.50
6. Step 6: Final answer
   x = 68,608.22