Finding the Third Proportional to 14,637 and 21,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,637 : 21,629.50 = 21,629.50 : x
2. Step 2: Convert to fraction form
   14,637/21,629.50 = 21,629.50/x
3. Step 3: Cross multiply
   14,637x = 21,629.50 × 21,629.50
4. Step 4: Simplify right side
   14,637x = 467,835,270.25
5. Step 5: Solve for x
   x = 467,835,270.25/14,637
6. Step 6: Final answer
   x = 31,962.51