Finding the Third Proportional to 36,983.25 and 78,573.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36,983.25 : 78,573.38 = 78,573.38 : x
2. Step 2: Convert to fraction form
   36,983.25/78,573.38 = 78,573.38/x
3. Step 3: Cross multiply
   36,983.25x = 78,573.38 × 78,573.38
4. Step 4: Simplify right side
   36,983.25x = 6,173,775,258.89
5. Step 5: Solve for x
   x = 6,173,775,258.89/36,983.25
6. Step 6: Final answer
   x = 166,934.36