Finding the Third Proportional to 31,227 and 46,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,227 : 46,813.50 = 46,813.50 : x
2. Step 2: Convert to fraction form
   31,227/46,813.50 = 46,813.50/x
3. Step 3: Cross multiply
   31,227x = 46,813.50 × 46,813.50
4. Step 4: Simplify right side
   31,227x = 2,191,503,782.25
5. Step 5: Solve for x
   x = 2,191,503,782.25/31,227
6. Step 6: Final answer
   x = 70,179.77