Finding the Third Proportional to 20,186 and 41,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,186 : 41,190.50 = 41,190.50 : x
2. Step 2: Convert to fraction form
   20,186/41,190.50 = 41,190.50/x
3. Step 3: Cross multiply
   20,186x = 41,190.50 × 41,190.50
4. Step 4: Simplify right side
   20,186x = 1,696,657,290.25
5. Step 5: Solve for x
   x = 1,696,657,290.25/20,186
6. Step 6: Final answer
   x = 84,051.19