Finding the Third Proportional to 12,296 and 26,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,296 : 26,825.50 = 26,825.50 : x
2. Step 2: Convert to fraction form
   12,296/26,825.50 = 26,825.50/x
3. Step 3: Cross multiply
   12,296x = 26,825.50 × 26,825.50
4. Step 4: Simplify right side
   12,296x = 719,607,450.25
5. Step 5: Solve for x
   x = 719,607,450.25/12,296
6. Step 6: Final answer
   x = 58,523.70