Finding the Third Proportional to 13,209.75 and 26,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,209.75 : 26,770.50 = 26,770.50 : x
2. Step 2: Convert to fraction form
   13,209.75/26,770.50 = 26,770.50/x
3. Step 3: Cross multiply
   13,209.75x = 26,770.50 × 26,770.50
4. Step 4: Simplify right side
   13,209.75x = 716,659,670.25
5. Step 5: Solve for x
   x = 716,659,670.25/13,209.75
6. Step 6: Final answer
   x = 54,252.33