Finding the Third Proportional to 19,636 and 42,431

Step by Step Solution

1. Step 1: Write the proportion equation
   19,636 : 42,431 = 42,431 : x
2. Step 2: Convert to fraction form
   19,636/42,431 = 42,431/x
3. Step 3: Cross multiply
   19,636x = 42,431 × 42,431
4. Step 4: Simplify right side
   19,636x = 1,800,389,761
5. Step 5: Solve for x
   x = 1,800,389,761/19,636
6. Step 6: Final answer
   x = 91,688.21