Finding the Third Proportional to 3,706.50 and 5,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,706.50 : 5,946.75 = 5,946.75 : x
2. Step 2: Convert to fraction form
   3,706.50/5,946.75 = 5,946.75/x
3. Step 3: Cross multiply
   3,706.50x = 5,946.75 × 5,946.75
4. Step 4: Simplify right side
   3,706.50x = 35,363,835.56
5. Step 5: Solve for x
   x = 35,363,835.56/3,706.50
6. Step 6: Final answer
   x = 9,541.03