Finding the Third Proportional to 37,800 and 59,166

Step by Step Solution

1. Step 1: Write the proportion equation
   37,800 : 59,166 = 59,166 : x
2. Step 2: Convert to fraction form
   37,800/59,166 = 59,166/x
3. Step 3: Cross multiply
   37,800x = 59,166 × 59,166
4. Step 4: Simplify right side
   37,800x = 3,500,615,556
5. Step 5: Solve for x
   x = 3,500,615,556/37,800
6. Step 6: Final answer
   x = 92,608.88