Finding the Third Proportional to 31,035 and 47,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,035 : 47,956.50 = 47,956.50 : x
2. Step 2: Convert to fraction form
   31,035/47,956.50 = 47,956.50/x
3. Step 3: Cross multiply
   31,035x = 47,956.50 × 47,956.50
4. Step 4: Simplify right side
   31,035x = 2,299,825,892.25
5. Step 5: Solve for x
   x = 2,299,825,892.25/31,035
6. Step 6: Final answer
   x = 74,104.27