Finding the Third Proportional to 37,296 and 82,890

Step by Step Solution

1. Step 1: Write the proportion equation
   37,296 : 82,890 = 82,890 : x
2. Step 2: Convert to fraction form
   37,296/82,890 = 82,890/x
3. Step 3: Cross multiply
   37,296x = 82,890 × 82,890
4. Step 4: Simplify right side
   37,296x = 6,870,752,100
5. Step 5: Solve for x
   x = 6,870,752,100/37,296
6. Step 6: Final answer
   x = 184,222.22