Finding the Third Proportional to 37,179 and 77,382

Step by Step Solution

1. Step 1: Write the proportion equation
   37,179 : 77,382 = 77,382 : x
2. Step 2: Convert to fraction form
   37,179/77,382 = 77,382/x
3. Step 3: Cross multiply
   37,179x = 77,382 × 77,382
4. Step 4: Simplify right side
   37,179x = 5,987,973,924
5. Step 5: Solve for x
   x = 5,987,973,924/37,179
6. Step 6: Final answer
   x = 161,057.96