Finding the Third Proportional to 23,814 and 35,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,814 : 35,509.50 = 35,509.50 : x
2. Step 2: Convert to fraction form
   23,814/35,509.50 = 35,509.50/x
3. Step 3: Cross multiply
   23,814x = 35,509.50 × 35,509.50
4. Step 4: Simplify right side
   23,814x = 1,260,924,590.25
5. Step 5: Solve for x
   x = 1,260,924,590.25/23,814
6. Step 6: Final answer
   x = 52,948.88