Finding the Third Proportional to 17,563 and 38,036

Step by Step Solution

1. Step 1: Write the proportion equation
   17,563 : 38,036 = 38,036 : x
2. Step 2: Convert to fraction form
   17,563/38,036 = 38,036/x
3. Step 3: Cross multiply
   17,563x = 38,036 × 38,036
4. Step 4: Simplify right side
   17,563x = 1,446,737,296
5. Step 5: Solve for x
   x = 1,446,737,296/17,563
6. Step 6: Final answer
   x = 82,374.16