Finding the Third Proportional to 12,201.50 and 20,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,201.50 : 20,194.50 = 20,194.50 : x
2. Step 2: Convert to fraction form
   12,201.50/20,194.50 = 20,194.50/x
3. Step 3: Cross multiply
   12,201.50x = 20,194.50 × 20,194.50
4. Step 4: Simplify right side
   12,201.50x = 407,817,830.25
5. Step 5: Solve for x
   x = 407,817,830.25/12,201.50
6. Step 6: Final answer
   x = 33,423.58