Finding the Third Proportional to 1,732.50 and 4,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,732.50 : 4,506.50 = 4,506.50 : x
2. Step 2: Convert to fraction form
   1,732.50/4,506.50 = 4,506.50/x
3. Step 3: Cross multiply
   1,732.50x = 4,506.50 × 4,506.50
4. Step 4: Simplify right side
   1,732.50x = 20,308,542.25
5. Step 5: Solve for x
   x = 20,308,542.25/1,732.50
6. Step 6: Final answer
   x = 11,722.10