Finding the Third Proportional to 30,256 and 42,319

Step by Step Solution

1. Step 1: Write the proportion equation
   30,256 : 42,319 = 42,319 : x
2. Step 2: Convert to fraction form
   30,256/42,319 = 42,319/x
3. Step 3: Cross multiply
   30,256x = 42,319 × 42,319
4. Step 4: Simplify right side
   30,256x = 1,790,897,761
5. Step 5: Solve for x
   x = 1,790,897,761/30,256
6. Step 6: Final answer
   x = 59,191.49