Finding the Third Proportional to 17,762 and 38,563

Step by Step Solution

1. Step 1: Write the proportion equation
   17,762 : 38,563 = 38,563 : x
2. Step 2: Convert to fraction form
   17,762/38,563 = 38,563/x
3. Step 3: Cross multiply
   17,762x = 38,563 × 38,563
4. Step 4: Simplify right side
   17,762x = 1,487,104,969
5. Step 5: Solve for x
   x = 1,487,104,969/17,762
6. Step 6: Final answer
   x = 83,723.96