Finding the Third Proportional to 30,762 and 42,381

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762 : 42,381 = 42,381 : x
2. Step 2: Convert to fraction form
   30,762/42,381 = 42,381/x
3. Step 3: Cross multiply
   30,762x = 42,381 × 42,381
4. Step 4: Simplify right side
   30,762x = 1,796,149,161
5. Step 5: Solve for x
   x = 1,796,149,161/30,762
6. Step 6: Final answer
   x = 58,388.57