Finding the Third Proportional to 35,322 and 76,719

Step by Step Solution

1. Step 1: Write the proportion equation
   35,322 : 76,719 = 76,719 : x
2. Step 2: Convert to fraction form
   35,322/76,719 = 76,719/x
3. Step 3: Cross multiply
   35,322x = 76,719 × 76,719
4. Step 4: Simplify right side
   35,322x = 5,885,804,961
5. Step 5: Solve for x
   x = 5,885,804,961/35,322
6. Step 6: Final answer
   x = 166,632.83