Finding the Third Proportional to 19,729 and 42,801

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729 : 42,801 = 42,801 : x
2. Step 2: Convert to fraction form
   19,729/42,801 = 42,801/x
3. Step 3: Cross multiply
   19,729x = 42,801 × 42,801
4. Step 4: Simplify right side
   19,729x = 1,831,925,601
5. Step 5: Solve for x
   x = 1,831,925,601/19,729
6. Step 6: Final answer
   x = 92,854.46