Finding the Third Proportional to 19,514 and 42,124

Step by Step Solution

1. Step 1: Write the proportion equation
   19,514 : 42,124 = 42,124 : x
2. Step 2: Convert to fraction form
   19,514/42,124 = 42,124/x
3. Step 3: Cross multiply
   19,514x = 42,124 × 42,124
4. Step 4: Simplify right side
   19,514x = 1,774,431,376
5. Step 5: Solve for x
   x = 1,774,431,376/19,514
6. Step 6: Final answer
   x = 90,931.20