Finding the Third Proportional to 14,850 and 21,789

Step by Step Solution

1. Step 1: Write the proportion equation
   14,850 : 21,789 = 21,789 : x
2. Step 2: Convert to fraction form
   14,850/21,789 = 21,789/x
3. Step 3: Cross multiply
   14,850x = 21,789 × 21,789
4. Step 4: Simplify right side
   14,850x = 474,760,521
5. Step 5: Solve for x
   x = 474,760,521/14,850
6. Step 6: Final answer
   x = 31,970.41