Finding the Third Proportional to 21,829.50 and 31,762.13

Step by Step Solution

1. Step 1: Write the proportion equation
   21,829.50 : 31,762.13 = 31,762.13 : x
2. Step 2: Convert to fraction form
   21,829.50/31,762.13 = 31,762.13/x
3. Step 3: Cross multiply
   21,829.50x = 31,762.13 × 31,762.13
4. Step 4: Simplify right side
   21,829.50x = 1,008,832,584.52
5. Step 5: Solve for x
   x = 1,008,832,584.52/21,829.50
6. Step 6: Final answer
   x = 46,214.19