Finding the Third Proportional to 31,431 and 47,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,431 : 47,524.50 = 47,524.50 : x
2. Step 2: Convert to fraction form
   31,431/47,524.50 = 47,524.50/x
3. Step 3: Cross multiply
   31,431x = 47,524.50 × 47,524.50
4. Step 4: Simplify right side
   31,431x = 2,258,578,100.25
5. Step 5: Solve for x
   x = 2,258,578,100.25/31,431
6. Step 6: Final answer
   x = 71,858.30