Finding the Third Proportional to 36,002 and 78,460

Step by Step Solution

1. Step 1: Write the proportion equation
   36,002 : 78,460 = 78,460 : x
2. Step 2: Convert to fraction form
   36,002/78,460 = 78,460/x
3. Step 3: Cross multiply
   36,002x = 78,460 × 78,460
4. Step 4: Simplify right side
   36,002x = 6,155,971,600
5. Step 5: Solve for x
   x = 6,155,971,600/36,002
6. Step 6: Final answer
   x = 170,989.71