Finding the Third Proportional to 21,646 and 31,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,646 : 31,007.50 = 31,007.50 : x
2. Step 2: Convert to fraction form
   21,646/31,007.50 = 31,007.50/x
3. Step 3: Cross multiply
   21,646x = 31,007.50 × 31,007.50
4. Step 4: Simplify right side
   21,646x = 961,465,056.25
5. Step 5: Solve for x
   x = 961,465,056.25/21,646
6. Step 6: Final answer
   x = 44,417.68