Finding the Third Proportional to 30,971.50 and 49,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,971.50 : 49,219.50 = 49,219.50 : x
2. Step 2: Convert to fraction form
   30,971.50/49,219.50 = 49,219.50/x
3. Step 3: Cross multiply
   30,971.50x = 49,219.50 × 49,219.50
4. Step 4: Simplify right side
   30,971.50x = 2,422,559,180.25
5. Step 5: Solve for x
   x = 2,422,559,180.25/30,971.50
6. Step 6: Final answer
   x = 78,218.98