Finding the Third Proportional to 37,427.06 and 81,774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,427.06 : 81,774.56 = 81,774.56 : x
2. Step 2: Convert to fraction form
   37,427.06/81,774.56 = 81,774.56/x
3. Step 3: Cross multiply
   37,427.06x = 81,774.56 × 81,774.56
4. Step 4: Simplify right side
   37,427.06x = 6,687,079,072.07
5. Step 5: Solve for x
   x = 6,687,079,072.07/37,427.06
6. Step 6: Final answer
   x = 178,669.62