Finding the Third Proportional to 12,194 and 25,346

Step by Step Solution

1. Step 1: Write the proportion equation
   12,194 : 25,346 = 25,346 : x
2. Step 2: Convert to fraction form
   12,194/25,346 = 25,346/x
3. Step 3: Cross multiply
   12,194x = 25,346 × 25,346
4. Step 4: Simplify right side
   12,194x = 642,419,716
5. Step 5: Solve for x
   x = 642,419,716/12,194
6. Step 6: Final answer
   x = 52,683.26