Finding the Third Proportional to 17,696 and 26,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,696 : 26,770.50 = 26,770.50 : x
2. Step 2: Convert to fraction form
   17,696/26,770.50 = 26,770.50/x
3. Step 3: Cross multiply
   17,696x = 26,770.50 × 26,770.50
4. Step 4: Simplify right side
   17,696x = 716,659,670.25
5. Step 5: Solve for x
   x = 716,659,670.25/17,696
6. Step 6: Final answer
   x = 40,498.40