Finding the Third Proportional to 31,500 and 49,167

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 49,167 = 49,167 : x
2. Step 2: Convert to fraction form
   31,500/49,167 = 49,167/x
3. Step 3: Cross multiply
   31,500x = 49,167 × 49,167
4. Step 4: Simplify right side
   31,500x = 2,417,393,889
5. Step 5: Solve for x
   x = 2,417,393,889/31,500
6. Step 6: Final answer
   x = 76,742.66