Finding the Third Proportional to 17,319 and 37,877

Step by Step Solution

1. Step 1: Write the proportion equation
   17,319 : 37,877 = 37,877 : x
2. Step 2: Convert to fraction form
   17,319/37,877 = 37,877/x
3. Step 3: Cross multiply
   17,319x = 37,877 × 37,877
4. Step 4: Simplify right side
   17,319x = 1,434,667,129
5. Step 5: Solve for x
   x = 1,434,667,129/17,319
6. Step 6: Final answer
   x = 82,837.76