Finding the Third Proportional to 16,460 and 35,656

Step by Step Solution

1. Step 1: Write the proportion equation
   16,460 : 35,656 = 35,656 : x
2. Step 2: Convert to fraction form
   16,460/35,656 = 35,656/x
3. Step 3: Cross multiply
   16,460x = 35,656 × 35,656
4. Step 4: Simplify right side
   16,460x = 1,271,350,336
5. Step 5: Solve for x
   x = 1,271,350,336/16,460
6. Step 6: Final answer
   x = 77,238.78