Finding the Third Proportional to 19,820 and 42,407

Step by Step Solution

1. Step 1: Write the proportion equation
   19,820 : 42,407 = 42,407 : x
2. Step 2: Convert to fraction form
   19,820/42,407 = 42,407/x
3. Step 3: Cross multiply
   19,820x = 42,407 × 42,407
4. Step 4: Simplify right side
   19,820x = 1,798,353,649
5. Step 5: Solve for x
   x = 1,798,353,649/19,820
6. Step 6: Final answer
   x = 90,734.29