Finding the Third Proportional to 4,607 and 7,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,607 : 7,113.50 = 7,113.50 : x
2. Step 2: Convert to fraction form
   4,607/7,113.50 = 7,113.50/x
3. Step 3: Cross multiply
   4,607x = 7,113.50 × 7,113.50
4. Step 4: Simplify right side
   4,607x = 50,601,882.25
5. Step 5: Solve for x
   x = 50,601,882.25/4,607
6. Step 6: Final answer
   x = 10,983.69