Finding the Third Proportional to 6,046 and 12,380

Step by Step Solution

1. Step 1: Write the proportion equation
   6,046 : 12,380 = 12,380 : x
2. Step 2: Convert to fraction form
   6,046/12,380 = 12,380/x
3. Step 3: Cross multiply
   6,046x = 12,380 × 12,380
4. Step 4: Simplify right side
   6,046x = 153,264,400
5. Step 5: Solve for x
   x = 153,264,400/6,046
6. Step 6: Final answer
   x = 25,349.72