Finding the Third Proportional to 14,600 and 21,380

Step by Step Solution

1. Step 1: Write the proportion equation
   14,600 : 21,380 = 21,380 : x
2. Step 2: Convert to fraction form
   14,600/21,380 = 21,380/x
3. Step 3: Cross multiply
   14,600x = 21,380 × 21,380
4. Step 4: Simplify right side
   14,600x = 457,104,400
5. Step 5: Solve for x
   x = 457,104,400/14,600
6. Step 6: Final answer
   x = 31,308.52