Finding the Third Proportional to 32,751 and 76,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,751 : 76,984.50 = 76,984.50 : x
2. Step 2: Convert to fraction form
   32,751/76,984.50 = 76,984.50/x
3. Step 3: Cross multiply
   32,751x = 76,984.50 × 76,984.50
4. Step 4: Simplify right side
   32,751x = 5,926,613,240.25
5. Step 5: Solve for x
   x = 5,926,613,240.25/32,751
6. Step 6: Final answer
   x = 180,959.76