Finding the Third Proportional to 35,019 and 75,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,019 : 75,568.50 = 75,568.50 : x
2. Step 2: Convert to fraction form
   35,019/75,568.50 = 75,568.50/x
3. Step 3: Cross multiply
   35,019x = 75,568.50 × 75,568.50
4. Step 4: Simplify right side
   35,019x = 5,710,598,192.25
5. Step 5: Solve for x
   x = 5,710,598,192.25/35,019
6. Step 6: Final answer
   x = 163,071.42