Finding the Third Proportional to 17,530 and 37,733

Step by Step Solution

1. Step 1: Write the proportion equation
   17,530 : 37,733 = 37,733 : x
2. Step 2: Convert to fraction form
   17,530/37,733 = 37,733/x
3. Step 3: Cross multiply
   17,530x = 37,733 × 37,733
4. Step 4: Simplify right side
   17,530x = 1,423,779,289
5. Step 5: Solve for x
   x = 1,423,779,289/17,530
6. Step 6: Final answer
   x = 81,219.58