Finding the Third Proportional to 19,710 and 42,578

Step by Step Solution

1. Step 1: Write the proportion equation
   19,710 : 42,578 = 42,578 : x
2. Step 2: Convert to fraction form
   19,710/42,578 = 42,578/x
3. Step 3: Cross multiply
   19,710x = 42,578 × 42,578
4. Step 4: Simplify right side
   19,710x = 1,812,886,084
5. Step 5: Solve for x
   x = 1,812,886,084/19,710
6. Step 6: Final answer
   x = 91,977.98