Finding the Third Proportional to 19,636 and 41,702

Step by Step Solution

1. Step 1: Write the proportion equation
   19,636 : 41,702 = 41,702 : x
2. Step 2: Convert to fraction form
   19,636/41,702 = 41,702/x
3. Step 3: Cross multiply
   19,636x = 41,702 × 41,702
4. Step 4: Simplify right side
   19,636x = 1,739,056,804
5. Step 5: Solve for x
   x = 1,739,056,804/19,636
6. Step 6: Final answer
   x = 88,564.72