Finding the Third Proportional to 37,802 and 59,169

Step by Step Solution

1. Step 1: Write the proportion equation
   37,802 : 59,169 = 59,169 : x
2. Step 2: Convert to fraction form
   37,802/59,169 = 59,169/x
3. Step 3: Cross multiply
   37,802x = 59,169 × 59,169
4. Step 4: Simplify right side
   37,802x = 3,500,970,561
5. Step 5: Solve for x
   x = 3,500,970,561/37,802
6. Step 6: Final answer
   x = 92,613.37