Finding the Third Proportional to 24,697 and 35,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,697 : 35,701.50 = 35,701.50 : x
2. Step 2: Convert to fraction form
   24,697/35,701.50 = 35,701.50/x
3. Step 3: Cross multiply
   24,697x = 35,701.50 × 35,701.50
4. Step 4: Simplify right side
   24,697x = 1,274,597,102.25
5. Step 5: Solve for x
   x = 1,274,597,102.25/24,697
6. Step 6: Final answer
   x = 51,609.39