Finding the Third Proportional to 14,655 and 33,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,655 : 33,739.50 = 33,739.50 : x
2. Step 2: Convert to fraction form
   14,655/33,739.50 = 33,739.50/x
3. Step 3: Cross multiply
   14,655x = 33,739.50 × 33,739.50
4. Step 4: Simplify right side
   14,655x = 1,138,353,860.25
5. Step 5: Solve for x
   x = 1,138,353,860.25/14,655
6. Step 6: Final answer
   x = 77,676.82