Finding the Third Proportional to 19,629 and 41,364

Step by Step Solution

1. Step 1: Write the proportion equation
   19,629 : 41,364 = 41,364 : x
2. Step 2: Convert to fraction form
   19,629/41,364 = 41,364/x
3. Step 3: Cross multiply
   19,629x = 41,364 × 41,364
4. Step 4: Simplify right side
   19,629x = 1,710,980,496
5. Step 5: Solve for x
   x = 1,710,980,496/19,629
6. Step 6: Final answer
   x = 87,165.95