Finding the Third Proportional to 14,377 and 21,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,377 : 21,049.50 = 21,049.50 : x
2. Step 2: Convert to fraction form
   14,377/21,049.50 = 21,049.50/x
3. Step 3: Cross multiply
   14,377x = 21,049.50 × 21,049.50
4. Step 4: Simplify right side
   14,377x = 443,081,450.25
5. Step 5: Solve for x
   x = 443,081,450.25/14,377
6. Step 6: Final answer
   x = 30,818.77