Finding the Third Proportional to 2,276 and 4,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,276 : 4,746.50 = 4,746.50 : x
2. Step 2: Convert to fraction form
   2,276/4,746.50 = 4,746.50/x
3. Step 3: Cross multiply
   2,276x = 4,746.50 × 4,746.50
4. Step 4: Simplify right side
   2,276x = 22,529,262.25
5. Step 5: Solve for x
   x = 22,529,262.25/2,276
6. Step 6: Final answer
   x = 9,898.62