Finding the Third Proportional to 13,677.75 and 20,921.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,677.75 : 20,921.63 = 20,921.63 : x
2. Step 2: Convert to fraction form
   13,677.75/20,921.63 = 20,921.63/x
3. Step 3: Cross multiply
   13,677.75x = 20,921.63 × 20,921.63
4. Step 4: Simplify right side
   13,677.75x = 437,714,392.64
5. Step 5: Solve for x
   x = 437,714,392.64/13,677.75
6. Step 6: Final answer
   x = 32,001.93