Finding the Third Proportional to 37,019 and 59,617

Step by Step Solution

1. Step 1: Write the proportion equation
   37,019 : 59,617 = 59,617 : x
2. Step 2: Convert to fraction form
   37,019/59,617 = 59,617/x
3. Step 3: Cross multiply
   37,019x = 59,617 × 59,617
4. Step 4: Simplify right side
   37,019x = 3,554,186,689
5. Step 5: Solve for x
   x = 3,554,186,689/37,019
6. Step 6: Final answer
   x = 96,009.80