Finding the Third Proportional to 38,216 and 59,024

Step by Step Solution

1. Step 1: Write the proportion equation
   38,216 : 59,024 = 59,024 : x
2. Step 2: Convert to fraction form
   38,216/59,024 = 59,024/x
3. Step 3: Cross multiply
   38,216x = 59,024 × 59,024
4. Step 4: Simplify right side
   38,216x = 3,483,832,576
5. Step 5: Solve for x
   x = 3,483,832,576/38,216
6. Step 6: Final answer
   x = 91,161.62