Finding the Third Proportional to 12,196 and 26,280

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 26,280 = 26,280 : x
2. Step 2: Convert to fraction form
   12,196/26,280 = 26,280/x
3. Step 3: Cross multiply
   12,196x = 26,280 × 26,280
4. Step 4: Simplify right side
   12,196x = 690,638,400
5. Step 5: Solve for x
   x = 690,638,400/12,196
6. Step 6: Final answer
   x = 56,628.27