Finding the Third Proportional to 32,823 and 50,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823 : 50,914.50 = 50,914.50 : x
2. Step 2: Convert to fraction form
   32,823/50,914.50 = 50,914.50/x
3. Step 3: Cross multiply
   32,823x = 50,914.50 × 50,914.50
4. Step 4: Simplify right side
   32,823x = 2,592,286,310.25
5. Step 5: Solve for x
   x = 2,592,286,310.25/32,823
6. Step 6: Final answer
   x = 78,977.74