Finding the Third Proportional to 12,816 and 29,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,816 : 29,407.50 = 29,407.50 : x
2. Step 2: Convert to fraction form
   12,816/29,407.50 = 29,407.50/x
3. Step 3: Cross multiply
   12,816x = 29,407.50 × 29,407.50
4. Step 4: Simplify right side
   12,816x = 864,801,056.25
5. Step 5: Solve for x
   x = 864,801,056.25/12,816
6. Step 6: Final answer
   x = 67,478.23