Finding the Third Proportional to 19,653 and 40,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,653 : 40,222.50 = 40,222.50 : x
2. Step 2: Convert to fraction form
   19,653/40,222.50 = 40,222.50/x
3. Step 3: Cross multiply
   19,653x = 40,222.50 × 40,222.50
4. Step 4: Simplify right side
   19,653x = 1,617,849,506.25
5. Step 5: Solve for x
   x = 1,617,849,506.25/19,653
6. Step 6: Final answer
   x = 82,320.74