Finding the Third Proportional to 37,726 and 81,942

Step by Step Solution

1. Step 1: Write the proportion equation
   37,726 : 81,942 = 81,942 : x
2. Step 2: Convert to fraction form
   37,726/81,942 = 81,942/x
3. Step 3: Cross multiply
   37,726x = 81,942 × 81,942
4. Step 4: Simplify right side
   37,726x = 6,714,491,364
5. Step 5: Solve for x
   x = 6,714,491,364/37,726
6. Step 6: Final answer
   x = 177,980.47