Finding the Third Proportional to 37,979 and 83,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,979 : 83,105.50 = 83,105.50 : x
2. Step 2: Convert to fraction form
   37,979/83,105.50 = 83,105.50/x
3. Step 3: Cross multiply
   37,979x = 83,105.50 × 83,105.50
4. Step 4: Simplify right side
   37,979x = 6,906,524,130.25
5. Step 5: Solve for x
   x = 6,906,524,130.25/37,979
6. Step 6: Final answer
   x = 181,851.13