Finding the Third Proportional to 7,985 and 17,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,985 : 17,369.50 = 17,369.50 : x
2. Step 2: Convert to fraction form
   7,985/17,369.50 = 17,369.50/x
3. Step 3: Cross multiply
   7,985x = 17,369.50 × 17,369.50
4. Step 4: Simplify right side
   7,985x = 301,699,530.25
5. Step 5: Solve for x
   x = 301,699,530.25/7,985
6. Step 6: Final answer
   x = 37,783.28