Finding the Third Proportional to 17,533.50 and 37,983

Step by Step Solution

1. Step 1: Write the proportion equation
   17,533.50 : 37,983 = 37,983 : x
2. Step 2: Convert to fraction form
   17,533.50/37,983 = 37,983/x
3. Step 3: Cross multiply
   17,533.50x = 37,983 × 37,983
4. Step 4: Simplify right side
   17,533.50x = 1,442,708,289
5. Step 5: Solve for x
   x = 1,442,708,289/17,533.50
6. Step 6: Final answer
   x = 82,282.96