Finding the Third Proportional to 30,261 and 42,327

Step by Step Solution

1. Step 1: Write the proportion equation
   30,261 : 42,327 = 42,327 : x
2. Step 2: Convert to fraction form
   30,261/42,327 = 42,327/x
3. Step 3: Cross multiply
   30,261x = 42,327 × 42,327
4. Step 4: Simplify right side
   30,261x = 1,791,574,929
5. Step 5: Solve for x
   x = 1,791,574,929/30,261
6. Step 6: Final answer
   x = 59,204.09