Finding the Third Proportional to 37,976 and 78,382

Step by Step Solution

1. Step 1: Write the proportion equation
   37,976 : 78,382 = 78,382 : x
2. Step 2: Convert to fraction form
   37,976/78,382 = 78,382/x
3. Step 3: Cross multiply
   37,976x = 78,382 × 78,382
4. Step 4: Simplify right side
   37,976x = 6,143,737,924
5. Step 5: Solve for x
   x = 6,143,737,924/37,976
6. Step 6: Final answer
   x = 161,779.49