Finding the Third Proportional to 5,981.63 and 12,877.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,981.63 : 12,877.88 = 12,877.88 : x
2. Step 2: Convert to fraction form
   5,981.63/12,877.88 = 12,877.88/x
3. Step 3: Cross multiply
   5,981.63x = 12,877.88 × 12,877.88
4. Step 4: Simplify right side
   5,981.63x = 165,839,664.52
5. Step 5: Solve for x
   x = 165,839,664.52/5,981.63
6. Step 6: Final answer
   x = 27,724.85