Finding the Third Proportional to 32,214 and 49,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,214 : 49,780.50 = 49,780.50 : x
2. Step 2: Convert to fraction form
   32,214/49,780.50 = 49,780.50/x
3. Step 3: Cross multiply
   32,214x = 49,780.50 × 49,780.50
4. Step 4: Simplify right side
   32,214x = 2,478,098,180.25
5. Step 5: Solve for x
   x = 2,478,098,180.25/32,214
6. Step 6: Final answer
   x = 76,926.12