Finding the Third Proportional to 21,614 and 31,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,614 : 31,641.75 = 31,641.75 : x
2. Step 2: Convert to fraction form
   21,614/31,641.75 = 31,641.75/x
3. Step 3: Cross multiply
   21,614x = 31,641.75 × 31,641.75
4. Step 4: Simplify right side
   21,614x = 1,001,200,343.06
5. Step 5: Solve for x
   x = 1,001,200,343.06/21,614
6. Step 6: Final answer
   x = 46,321.84