Finding the Third Proportional to 37,426 and 80,038

Step by Step Solution

1. Step 1: Write the proportion equation
   37,426 : 80,038 = 80,038 : x
2. Step 2: Convert to fraction form
   37,426/80,038 = 80,038/x
3. Step 3: Cross multiply
   37,426x = 80,038 × 80,038
4. Step 4: Simplify right side
   37,426x = 6,406,081,444
5. Step 5: Solve for x
   x = 6,406,081,444/37,426
6. Step 6: Final answer
   x = 171,166.61