Finding the Third Proportional to 35,904 and 76,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,904 : 76,695.50 = 76,695.50 : x
2. Step 2: Convert to fraction form
   35,904/76,695.50 = 76,695.50/x
3. Step 3: Cross multiply
   35,904x = 76,695.50 × 76,695.50
4. Step 4: Simplify right side
   35,904x = 5,882,199,720.25
5. Step 5: Solve for x
   x = 5,882,199,720.25/35,904
6. Step 6: Final answer
   x = 163,831.32