Finding the Third Proportional to 35,353 and 76,240.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,353 : 76,240.50 = 76,240.50 : x
2. Step 2: Convert to fraction form
   35,353/76,240.50 = 76,240.50/x
3. Step 3: Cross multiply
   35,353x = 76,240.50 × 76,240.50
4. Step 4: Simplify right side
   35,353x = 5,812,613,840.25
5. Step 5: Solve for x
   x = 5,812,613,840.25/35,353
6. Step 6: Final answer
   x = 164,416.42