Finding the Third Proportional to 31,973.50 and 50,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,973.50 : 50,047.50 = 50,047.50 : x
2. Step 2: Convert to fraction form
   31,973.50/50,047.50 = 50,047.50/x
3. Step 3: Cross multiply
   31,973.50x = 50,047.50 × 50,047.50
4. Step 4: Simplify right side
   31,973.50x = 2,504,752,256.25
5. Step 5: Solve for x
   x = 2,504,752,256.25/31,973.50
6. Step 6: Final answer
   x = 78,338.38