Finding the Third Proportional to 38,149 and 59,019

Step by Step Solution

1. Step 1: Write the proportion equation
   38,149 : 59,019 = 59,019 : x
2. Step 2: Convert to fraction form
   38,149/59,019 = 59,019/x
3. Step 3: Cross multiply
   38,149x = 59,019 × 59,019
4. Step 4: Simplify right side
   38,149x = 3,483,242,361
5. Step 5: Solve for x
   x = 3,483,242,361/38,149
6. Step 6: Final answer
   x = 91,306.26