Finding the Third Proportional to 14,953.50 and 21,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,953.50 : 21,781.50 = 21,781.50 : x
2. Step 2: Convert to fraction form
   14,953.50/21,781.50 = 21,781.50/x
3. Step 3: Cross multiply
   14,953.50x = 21,781.50 × 21,781.50
4. Step 4: Simplify right side
   14,953.50x = 474,433,742.25
5. Step 5: Solve for x
   x = 474,433,742.25/14,953.50
6. Step 6: Final answer
   x = 31,727.27