Finding the Third Proportional to 19,729 and 42,634

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729 : 42,634 = 42,634 : x
2. Step 2: Convert to fraction form
   19,729/42,634 = 42,634/x
3. Step 3: Cross multiply
   19,729x = 42,634 × 42,634
4. Step 4: Simplify right side
   19,729x = 1,817,657,956
5. Step 5: Solve for x
   x = 1,817,657,956/19,729
6. Step 6: Final answer
   x = 92,131.28