Finding the Third Proportional to 31,633 and 47,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,633 : 47,377.50 = 47,377.50 : x
2. Step 2: Convert to fraction form
   31,633/47,377.50 = 47,377.50/x
3. Step 3: Cross multiply
   31,633x = 47,377.50 × 47,377.50
4. Step 4: Simplify right side
   31,633x = 2,244,627,506.25
5. Step 5: Solve for x
   x = 2,244,627,506.25/31,633
6. Step 6: Final answer
   x = 70,958.41