Finding the Third Proportional to 16,680 and 35,946

Step by Step Solution

1. Step 1: Write the proportion equation
   16,680 : 35,946 = 35,946 : x
2. Step 2: Convert to fraction form
   16,680/35,946 = 35,946/x
3. Step 3: Cross multiply
   16,680x = 35,946 × 35,946
4. Step 4: Simplify right side
   16,680x = 1,292,114,916
5. Step 5: Solve for x
   x = 1,292,114,916/16,680
6. Step 6: Final answer
   x = 77,464.92