Finding the Third Proportional to 4,610 and 7,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,610 : 7,047.50 = 7,047.50 : x
2. Step 2: Convert to fraction form
   4,610/7,047.50 = 7,047.50/x
3. Step 3: Cross multiply
   4,610x = 7,047.50 × 7,047.50
4. Step 4: Simplify right side
   4,610x = 49,667,256.25
5. Step 5: Solve for x
   x = 49,667,256.25/4,610
6. Step 6: Final answer
   x = 10,773.81