Finding the Third Proportional to 35,168 and 76,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,168 : 76,343.50 = 76,343.50 : x
2. Step 2: Convert to fraction form
   35,168/76,343.50 = 76,343.50/x
3. Step 3: Cross multiply
   35,168x = 76,343.50 × 76,343.50
4. Step 4: Simplify right side
   35,168x = 5,828,329,992.25
5. Step 5: Solve for x
   x = 5,828,329,992.25/35,168
6. Step 6: Final answer
   x = 165,728.22