Finding the Third Proportional to 59,378 and 83,019

Step by Step Solution

1. Step 1: Write the proportion equation
   59,378 : 83,019 = 83,019 : x
2. Step 2: Convert to fraction form
   59,378/83,019 = 83,019/x
3. Step 3: Cross multiply
   59,378x = 83,019 × 83,019
4. Step 4: Simplify right side
   59,378x = 6,892,154,361
5. Step 5: Solve for x
   x = 6,892,154,361/59,378
6. Step 6: Final answer
   x = 116,072.52