Finding the Third Proportional to 19,729 and 42,386

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729 : 42,386 = 42,386 : x
2. Step 2: Convert to fraction form
   19,729/42,386 = 42,386/x
3. Step 3: Cross multiply
   19,729x = 42,386 × 42,386
4. Step 4: Simplify right side
   19,729x = 1,796,572,996
5. Step 5: Solve for x
   x = 1,796,572,996/19,729
6. Step 6: Final answer
   x = 91,062.55