Finding the Third Proportional to 19,441.50 and 41,646

Step by Step Solution

1. Step 1: Write the proportion equation
   19,441.50 : 41,646 = 41,646 : x
2. Step 2: Convert to fraction form
   19,441.50/41,646 = 41,646/x
3. Step 3: Cross multiply
   19,441.50x = 41,646 × 41,646
4. Step 4: Simplify right side
   19,441.50x = 1,734,389,316
5. Step 5: Solve for x
   x = 1,734,389,316/19,441.50
6. Step 6: Final answer
   x = 89,210.67