Finding the Third Proportional to 35,149.50 and 82,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,149.50 : 82,971.50 = 82,971.50 : x
2. Step 2: Convert to fraction form
   35,149.50/82,971.50 = 82,971.50/x
3. Step 3: Cross multiply
   35,149.50x = 82,971.50 × 82,971.50
4. Step 4: Simplify right side
   35,149.50x = 6,884,269,812.25
5. Step 5: Solve for x
   x = 6,884,269,812.25/35,149.50
6. Step 6: Final answer
   x = 195,856.83