Finding the Third Proportional to 35,349 and 76,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,349 : 76,233.50 = 76,233.50 : x
2. Step 2: Convert to fraction form
   35,349/76,233.50 = 76,233.50/x
3. Step 3: Cross multiply
   35,349x = 76,233.50 × 76,233.50
4. Step 4: Simplify right side
   35,349x = 5,811,546,522.25
5. Step 5: Solve for x
   x = 5,811,546,522.25/35,349
6. Step 6: Final answer
   x = 164,404.84