Finding the Third Proportional to 38,424 and 56,166

Step by Step Solution

1. Step 1: Write the proportion equation
   38,424 : 56,166 = 56,166 : x
2. Step 2: Convert to fraction form
   38,424/56,166 = 56,166/x
3. Step 3: Cross multiply
   38,424x = 56,166 × 56,166
4. Step 4: Simplify right side
   38,424x = 3,154,619,556
5. Step 5: Solve for x
   x = 3,154,619,556/38,424
6. Step 6: Final answer
   x = 82,100.24