Finding the Third Proportional to 16,691 and 35,746

Step by Step Solution

1. Step 1: Write the proportion equation
   16,691 : 35,746 = 35,746 : x
2. Step 2: Convert to fraction form
   16,691/35,746 = 35,746/x
3. Step 3: Cross multiply
   16,691x = 35,746 × 35,746
4. Step 4: Simplify right side
   16,691x = 1,277,776,516
5. Step 5: Solve for x
   x = 1,277,776,516/16,691
6. Step 6: Final answer
   x = 76,554.82