Finding the Third Proportional to 12,380 and 17,354

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 17,354 = 17,354 : x
2. Step 2: Convert to fraction form
   12,380/17,354 = 17,354/x
3. Step 3: Cross multiply
   12,380x = 17,354 × 17,354
4. Step 4: Simplify right side
   12,380x = 301,161,316
5. Step 5: Solve for x
   x = 301,161,316/12,380
6. Step 6: Final answer
   x = 24,326.44