Finding the Third Proportional to 17,559.75 and 38,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,559.75 : 38,035.50 = 38,035.50 : x
2. Step 2: Convert to fraction form
   17,559.75/38,035.50 = 38,035.50/x
3. Step 3: Cross multiply
   17,559.75x = 38,035.50 × 38,035.50
4. Step 4: Simplify right side
   17,559.75x = 1,446,699,260.25
5. Step 5: Solve for x
   x = 1,446,699,260.25/17,559.75
6. Step 6: Final answer
   x = 82,387.24