Finding the Third Proportional to 37,974.75 and 83,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974.75 : 83,097.75 = 83,097.75 : x
2. Step 2: Convert to fraction form
   37,974.75/83,097.75 = 83,097.75/x
3. Step 3: Cross multiply
   37,974.75x = 83,097.75 × 83,097.75
4. Step 4: Simplify right side
   37,974.75x = 6,905,236,055.06
5. Step 5: Solve for x
   x = 6,905,236,055.06/37,974.75
6. Step 6: Final answer
   x = 181,837.56