Finding the Third Proportional to 4,506 and 10,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,506 : 10,531.50 = 10,531.50 : x
2. Step 2: Convert to fraction form
   4,506/10,531.50 = 10,531.50/x
3. Step 3: Cross multiply
   4,506x = 10,531.50 × 10,531.50
4. Step 4: Simplify right side
   4,506x = 110,912,492.25
5. Step 5: Solve for x
   x = 110,912,492.25/4,506
6. Step 6: Final answer
   x = 24,614.40