Finding the Third Proportional to 19,806 and 41,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,806 : 41,242.50 = 41,242.50 : x
2. Step 2: Convert to fraction form
   19,806/41,242.50 = 41,242.50/x
3. Step 3: Cross multiply
   19,806x = 41,242.50 × 41,242.50
4. Step 4: Simplify right side
   19,806x = 1,700,943,806.25
5. Step 5: Solve for x
   x = 1,700,943,806.25/19,806
6. Step 6: Final answer
   x = 85,880.23