Finding the Third Proportional to 19,766 and 42,124

Step by Step Solution

1. Step 1: Write the proportion equation
   19,766 : 42,124 = 42,124 : x
2. Step 2: Convert to fraction form
   19,766/42,124 = 42,124/x
3. Step 3: Cross multiply
   19,766x = 42,124 × 42,124
4. Step 4: Simplify right side
   19,766x = 1,774,431,376
5. Step 5: Solve for x
   x = 1,774,431,376/19,766
6. Step 6: Final answer
   x = 89,771.90