Finding the Third Proportional to 21,624 and 31,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,624 : 31,654.50 = 31,654.50 : x
2. Step 2: Convert to fraction form
   21,624/31,654.50 = 31,654.50/x
3. Step 3: Cross multiply
   21,624x = 31,654.50 × 31,654.50
4. Step 4: Simplify right side
   21,624x = 1,002,007,370.25
5. Step 5: Solve for x
   x = 1,002,007,370.25/21,624
6. Step 6: Final answer
   x = 46,337.74