Finding the Third Proportional to 19,730 and 42,942

Step by Step Solution

1. Step 1: Write the proportion equation
   19,730 : 42,942 = 42,942 : x
2. Step 2: Convert to fraction form
   19,730/42,942 = 42,942/x
3. Step 3: Cross multiply
   19,730x = 42,942 × 42,942
4. Step 4: Simplify right side
   19,730x = 1,844,015,364
5. Step 5: Solve for x
   x = 1,844,015,364/19,730
6. Step 6: Final answer
   x = 93,462.51