Finding the Third Proportional to 31,009.50 and 47,931

Step by Step Solution

1. Step 1: Write the proportion equation
   31,009.50 : 47,931 = 47,931 : x
2. Step 2: Convert to fraction form
   31,009.50/47,931 = 47,931/x
3. Step 3: Cross multiply
   31,009.50x = 47,931 × 47,931
4. Step 4: Simplify right side
   31,009.50x = 2,297,380,761
5. Step 5: Solve for x
   x = 2,297,380,761/31,009.50
6. Step 6: Final answer
   x = 74,086.35