Finding the Third Proportional to 10,054 and 19,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054 : 19,820 = 19,820 : x
2. Step 2: Convert to fraction form
   10,054/19,820 = 19,820/x
3. Step 3: Cross multiply
   10,054x = 19,820 × 19,820
4. Step 4: Simplify right side
   10,054x = 392,832,400
5. Step 5: Solve for x
   x = 392,832,400/10,054
6. Step 6: Final answer
   x = 39,072.25