Finding the Third Proportional to 31,833 and 47,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,833 : 47,533.50 = 47,533.50 : x
2. Step 2: Convert to fraction form
   31,833/47,533.50 = 47,533.50/x
3. Step 3: Cross multiply
   31,833x = 47,533.50 × 47,533.50
4. Step 4: Simplify right side
   31,833x = 2,259,433,622.25
5. Step 5: Solve for x
   x = 2,259,433,622.25/31,833
6. Step 6: Final answer
   x = 70,977.72