Finding the Third Proportional to 37,776 and 83,008

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 83,008 = 83,008 : x
2. Step 2: Convert to fraction form
   37,776/83,008 = 83,008/x
3. Step 3: Cross multiply
   37,776x = 83,008 × 83,008
4. Step 4: Simplify right side
   37,776x = 6,890,328,064
5. Step 5: Solve for x
   x = 6,890,328,064/37,776
6. Step 6: Final answer
   x = 182,399.62