Finding the Third Proportional to 10,029 and 14,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029 : 14,738.25 = 14,738.25 : x
2. Step 2: Convert to fraction form
   10,029/14,738.25 = 14,738.25/x
3. Step 3: Cross multiply
   10,029x = 14,738.25 × 14,738.25
4. Step 4: Simplify right side
   10,029x = 217,216,013.06
5. Step 5: Solve for x
   x = 217,216,013.06/10,029
6. Step 6: Final answer
   x = 21,658.79