Finding the Third Proportional to 37,449 and 81,931

Step by Step Solution

1. Step 1: Write the proportion equation
   37,449 : 81,931 = 81,931 : x
2. Step 2: Convert to fraction form
   37,449/81,931 = 81,931/x
3. Step 3: Cross multiply
   37,449x = 81,931 × 81,931
4. Step 4: Simplify right side
   37,449x = 6,712,688,761
5. Step 5: Solve for x
   x = 6,712,688,761/37,449
6. Step 6: Final answer
   x = 179,248.81