Finding the Third Proportional to 33,971 and 51,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,971 : 51,469.50 = 51,469.50 : x
2. Step 2: Convert to fraction form
   33,971/51,469.50 = 51,469.50/x
3. Step 3: Cross multiply
   33,971x = 51,469.50 × 51,469.50
4. Step 4: Simplify right side
   33,971x = 2,649,109,430.25
5. Step 5: Solve for x
   x = 2,649,109,430.25/33,971
6. Step 6: Final answer
   x = 77,981.50