Finding the Third Proportional to 12,598.50 and 26,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,598.50 : 26,233.50 = 26,233.50 : x
2. Step 2: Convert to fraction form
   12,598.50/26,233.50 = 26,233.50/x
3. Step 3: Cross multiply
   12,598.50x = 26,233.50 × 26,233.50
4. Step 4: Simplify right side
   12,598.50x = 688,196,522.25
5. Step 5: Solve for x
   x = 688,196,522.25/12,598.50
6. Step 6: Final answer
   x = 54,625.27