Finding the Third Proportional to 35,468 and 76,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,468 : 76,162.50 = 76,162.50 : x
2. Step 2: Convert to fraction form
   35,468/76,162.50 = 76,162.50/x
3. Step 3: Cross multiply
   35,468x = 76,162.50 × 76,162.50
4. Step 4: Simplify right side
   35,468x = 5,800,726,406.25
5. Step 5: Solve for x
   x = 5,800,726,406.25/35,468
6. Step 6: Final answer
   x = 163,548.17