Finding the Third Proportional to 37,974 and 83,097

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974 : 83,097 = 83,097 : x
2. Step 2: Convert to fraction form
   37,974/83,097 = 83,097/x
3. Step 3: Cross multiply
   37,974x = 83,097 × 83,097
4. Step 4: Simplify right side
   37,974x = 6,905,111,409
5. Step 5: Solve for x
   x = 6,905,111,409/37,974
6. Step 6: Final answer
   x = 181,837.87