Finding the Third Proportional to 22,692 and 31,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,692 : 31,739.50 = 31,739.50 : x
2. Step 2: Convert to fraction form
   22,692/31,739.50 = 31,739.50/x
3. Step 3: Cross multiply
   22,692x = 31,739.50 × 31,739.50
4. Step 4: Simplify right side
   22,692x = 1,007,395,860.25
5. Step 5: Solve for x
   x = 1,007,395,860.25/22,692
6. Step 6: Final answer
   x = 44,394.32