Finding the Third Proportional to 30,257 and 42,321

Step by Step Solution

1. Step 1: Write the proportion equation
   30,257 : 42,321 = 42,321 : x
2. Step 2: Convert to fraction form
   30,257/42,321 = 42,321/x
3. Step 3: Cross multiply
   30,257x = 42,321 × 42,321
4. Step 4: Simplify right side
   30,257x = 1,791,067,041
5. Step 5: Solve for x
   x = 1,791,067,041/30,257
6. Step 6: Final answer
   x = 59,195.13