Finding the Third Proportional to 36,944 and 78,500

Step by Step Solution

1. Step 1: Write the proportion equation
   36,944 : 78,500 = 78,500 : x
2. Step 2: Convert to fraction form
   36,944/78,500 = 78,500/x
3. Step 3: Cross multiply
   36,944x = 78,500 × 78,500
4. Step 4: Simplify right side
   36,944x = 6,162,250,000
5. Step 5: Solve for x
   x = 6,162,250,000/36,944
6. Step 6: Final answer
   x = 166,799.75