Finding the Third Proportional to 12,193.50 and 16,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,193.50 : 16,561.50 = 16,561.50 : x
2. Step 2: Convert to fraction form
   12,193.50/16,561.50 = 16,561.50/x
3. Step 3: Cross multiply
   12,193.50x = 16,561.50 × 16,561.50
4. Step 4: Simplify right side
   12,193.50x = 274,283,282.25
5. Step 5: Solve for x
   x = 274,283,282.25/12,193.50
6. Step 6: Final answer
   x = 22,494.22