Finding the Third Proportional to 5,755.50 and 12,416.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.50 : 12,416.63 = 12,416.63 : x
2. Step 2: Convert to fraction form
   5,755.50/12,416.63 = 12,416.63/x
3. Step 3: Cross multiply
   5,755.50x = 12,416.63 × 12,416.63
4. Step 4: Simplify right side
   5,755.50x = 154,172,576.39
5. Step 5: Solve for x
   x = 154,172,576.39/5,755.50
6. Step 6: Final answer
   x = 26,787.00