Finding the Third Proportional to 30,258 and 42,322

Step by Step Solution

1. Step 1: Write the proportion equation
   30,258 : 42,322 = 42,322 : x
2. Step 2: Convert to fraction form
   30,258/42,322 = 42,322/x
3. Step 3: Cross multiply
   30,258x = 42,322 × 42,322
4. Step 4: Simplify right side
   30,258x = 1,791,151,684
5. Step 5: Solve for x
   x = 1,791,151,684/30,258
6. Step 6: Final answer
   x = 59,195.97