Finding the Third Proportional to 12,672 and 27,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,672 : 27,727.50 = 27,727.50 : x
2. Step 2: Convert to fraction form
   12,672/27,727.50 = 27,727.50/x
3. Step 3: Cross multiply
   12,672x = 27,727.50 × 27,727.50
4. Step 4: Simplify right side
   12,672x = 768,814,256.25
5. Step 5: Solve for x
   x = 768,814,256.25/12,672
6. Step 6: Final answer
   x = 60,670.32