Finding the Third Proportional to 34,902 and 76,322

Step by Step Solution

1. Step 1: Write the proportion equation
   34,902 : 76,322 = 76,322 : x
2. Step 2: Convert to fraction form
   34,902/76,322 = 76,322/x
3. Step 3: Cross multiply
   34,902x = 76,322 × 76,322
4. Step 4: Simplify right side
   34,902x = 5,825,047,684
5. Step 5: Solve for x
   x = 5,825,047,684/34,902
6. Step 6: Final answer
   x = 166,897.25