Finding the Third Proportional to 21,776.50 and 31,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,776.50 : 31,824.50 = 31,824.50 : x
2. Step 2: Convert to fraction form
   21,776.50/31,824.50 = 31,824.50/x
3. Step 3: Cross multiply
   21,776.50x = 31,824.50 × 31,824.50
4. Step 4: Simplify right side
   21,776.50x = 1,012,798,800.25
5. Step 5: Solve for x
   x = 1,012,798,800.25/21,776.50
6. Step 6: Final answer
   x = 46,508.80