Finding the Third Proportional to 31,881 and 46,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,881 : 46,849.50 = 46,849.50 : x
2. Step 2: Convert to fraction form
   31,881/46,849.50 = 46,849.50/x
3. Step 3: Cross multiply
   31,881x = 46,849.50 × 46,849.50
4. Step 4: Simplify right side
   31,881x = 2,194,875,650.25
5. Step 5: Solve for x
   x = 2,194,875,650.25/31,881
6. Step 6: Final answer
   x = 68,845.88