Finding the Third Proportional to 37,944 and 83,100

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 83,100 = 83,100 : x
2. Step 2: Convert to fraction form
   37,944/83,100 = 83,100/x
3. Step 3: Cross multiply
   37,944x = 83,100 × 83,100
4. Step 4: Simplify right side
   37,944x = 6,905,610,000
5. Step 5: Solve for x
   x = 6,905,610,000/37,944
6. Step 6: Final answer
   x = 181,994.78