Finding the Third Proportional to 42,820 and 93,004

Step by Step Solution

1. Step 1: Write the proportion equation
   42,820 : 93,004 = 93,004 : x
2. Step 2: Convert to fraction form
   42,820/93,004 = 93,004/x
3. Step 3: Cross multiply
   42,820x = 93,004 × 93,004
4. Step 4: Simplify right side
   42,820x = 8,649,744,016
5. Step 5: Solve for x
   x = 8,649,744,016/42,820
6. Step 6: Final answer
   x = 202,002.43