Finding the Third Proportional to 31,667 and 49,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,667 : 49,417.50 = 49,417.50 : x
2. Step 2: Convert to fraction form
   31,667/49,417.50 = 49,417.50/x
3. Step 3: Cross multiply
   31,667x = 49,417.50 × 49,417.50
4. Step 4: Simplify right side
   31,667x = 2,442,089,306.25
5. Step 5: Solve for x
   x = 2,442,089,306.25/31,667
6. Step 6: Final answer
   x = 77,117.80