Finding the Third Proportional to 38,196 and 59,022

Step by Step Solution

1. Step 1: Write the proportion equation
   38,196 : 59,022 = 59,022 : x
2. Step 2: Convert to fraction form
   38,196/59,022 = 59,022/x
3. Step 3: Cross multiply
   38,196x = 59,022 × 59,022
4. Step 4: Simplify right side
   38,196x = 3,483,596,484
5. Step 5: Solve for x
   x = 3,483,596,484/38,196
6. Step 6: Final answer
   x = 91,203.18