Finding the Third Proportional to 37,426 and 81,892

Step by Step Solution

1. Step 1: Write the proportion equation
   37,426 : 81,892 = 81,892 : x
2. Step 2: Convert to fraction form
   37,426/81,892 = 81,892/x
3. Step 3: Cross multiply
   37,426x = 81,892 × 81,892
4. Step 4: Simplify right side
   37,426x = 6,706,299,664
5. Step 5: Solve for x
   x = 6,706,299,664/37,426
6. Step 6: Final answer
   x = 179,188.26