Finding the Third Proportional to 13,380 and 21,046

Step by Step Solution

1. Step 1: Write the proportion equation
   13,380 : 21,046 = 21,046 : x
2. Step 2: Convert to fraction form
   13,380/21,046 = 21,046/x
3. Step 3: Cross multiply
   13,380x = 21,046 × 21,046
4. Step 4: Simplify right side
   13,380x = 442,934,116
5. Step 5: Solve for x
   x = 442,934,116/13,380
6. Step 6: Final answer
   x = 33,104.19