Finding the Third Proportional to 38,826 and 85,002

Step by Step Solution

1. Step 1: Write the proportion equation
   38,826 : 85,002 = 85,002 : x
2. Step 2: Convert to fraction form
   38,826/85,002 = 85,002/x
3. Step 3: Cross multiply
   38,826x = 85,002 × 85,002
4. Step 4: Simplify right side
   38,826x = 7,225,340,004
5. Step 5: Solve for x
   x = 7,225,340,004/38,826
6. Step 6: Final answer
   x = 186,095.40