Finding the Third Proportional to 12,904.50 and 20,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,904.50 : 20,533.50 = 20,533.50 : x
2. Step 2: Convert to fraction form
   12,904.50/20,533.50 = 20,533.50/x
3. Step 3: Cross multiply
   12,904.50x = 20,533.50 × 20,533.50
4. Step 4: Simplify right side
   12,904.50x = 421,624,622.25
5. Step 5: Solve for x
   x = 421,624,622.25/12,904.50
6. Step 6: Final answer
   x = 32,672.68