Finding the Third Proportional to 4,009.50 and 8,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,009.50 : 8,746.50 = 8,746.50 : x
2. Step 2: Convert to fraction form
   4,009.50/8,746.50 = 8,746.50/x
3. Step 3: Cross multiply
   4,009.50x = 8,746.50 × 8,746.50
4. Step 4: Simplify right side
   4,009.50x = 76,501,262.25
5. Step 5: Solve for x
   x = 76,501,262.25/4,009.50
6. Step 6: Final answer
   x = 19,080.00