Finding the Third Proportional to 31,446 and 48,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,446 : 48,262.50 = 48,262.50 : x
2. Step 2: Convert to fraction form
   31,446/48,262.50 = 48,262.50/x
3. Step 3: Cross multiply
   31,446x = 48,262.50 × 48,262.50
4. Step 4: Simplify right side
   31,446x = 2,329,268,906.25
5. Step 5: Solve for x
   x = 2,329,268,906.25/31,446
6. Step 6: Final answer
   x = 74,072.03