Finding the Third Proportional to 31,535 and 47,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,535 : 47,435.50 = 47,435.50 : x
2. Step 2: Convert to fraction form
   31,535/47,435.50 = 47,435.50/x
3. Step 3: Cross multiply
   31,535x = 47,435.50 × 47,435.50
4. Step 4: Simplify right side
   31,535x = 2,250,126,660.25
5. Step 5: Solve for x
   x = 2,250,126,660.25/31,535
6. Step 6: Final answer
   x = 71,353.31