Finding the Third Proportional to 10,602 and 14,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602 : 14,188.50 = 14,188.50 : x
2. Step 2: Convert to fraction form
   10,602/14,188.50 = 14,188.50/x
3. Step 3: Cross multiply
   10,602x = 14,188.50 × 14,188.50
4. Step 4: Simplify right side
   10,602x = 201,313,532.25
5. Step 5: Solve for x
   x = 201,313,532.25/10,602
6. Step 6: Final answer
   x = 18,988.26