Finding the Third Proportional to 19,189 and 41,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,189 : 41,706.50 = 41,706.50 : x
2. Step 2: Convert to fraction form
   19,189/41,706.50 = 41,706.50/x
3. Step 3: Cross multiply
   19,189x = 41,706.50 × 41,706.50
4. Step 4: Simplify right side
   19,189x = 1,739,432,142.25
5. Step 5: Solve for x
   x = 1,739,432,142.25/19,189
6. Step 6: Final answer
   x = 90,647.36