Finding the Third Proportional to 32,171.50 and 49,214

Step by Step Solution

1. Step 1: Write the proportion equation
   32,171.50 : 49,214 = 49,214 : x
2. Step 2: Convert to fraction form
   32,171.50/49,214 = 49,214/x
3. Step 3: Cross multiply
   32,171.50x = 49,214 × 49,214
4. Step 4: Simplify right side
   32,171.50x = 2,422,017,796
5. Step 5: Solve for x
   x = 2,422,017,796/32,171.50
6. Step 6: Final answer
   x = 75,284.58