Finding the Third Proportional to 30,406 and 42,788

Step by Step Solution

1. Step 1: Write the proportion equation
   30,406 : 42,788 = 42,788 : x
2. Step 2: Convert to fraction form
   30,406/42,788 = 42,788/x
3. Step 3: Cross multiply
   30,406x = 42,788 × 42,788
4. Step 4: Simplify right side
   30,406x = 1,830,812,944
5. Step 5: Solve for x
   x = 1,830,812,944/30,406
6. Step 6: Final answer
   x = 60,212.23