Finding the Third Proportional to 4,614 and 7,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,614 : 7,156.50 = 7,156.50 : x
2. Step 2: Convert to fraction form
   4,614/7,156.50 = 7,156.50/x
3. Step 3: Cross multiply
   4,614x = 7,156.50 × 7,156.50
4. Step 4: Simplify right side
   4,614x = 51,215,492.25
5. Step 5: Solve for x
   x = 51,215,492.25/4,614
6. Step 6: Final answer
   x = 11,100.02