Finding the Third Proportional to 38,019 and 59,013

Step by Step Solution

1. Step 1: Write the proportion equation
   38,019 : 59,013 = 59,013 : x
2. Step 2: Convert to fraction form
   38,019/59,013 = 59,013/x
3. Step 3: Cross multiply
   38,019x = 59,013 × 59,013
4. Step 4: Simplify right side
   38,019x = 3,482,534,169
5. Step 5: Solve for x
   x = 3,482,534,169/38,019
6. Step 6: Final answer
   x = 91,599.84