Finding the Third Proportional to 37,980 and 83,592

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 83,592 = 83,592 : x
2. Step 2: Convert to fraction form
   37,980/83,592 = 83,592/x
3. Step 3: Cross multiply
   37,980x = 83,592 × 83,592
4. Step 4: Simplify right side
   37,980x = 6,987,622,464
5. Step 5: Solve for x
   x = 6,987,622,464/37,980
6. Step 6: Final answer
   x = 183,981.63