Finding the Third Proportional to 13,146 and 14,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,146 : 14,572.50 = 14,572.50 : x
2. Step 2: Convert to fraction form
   13,146/14,572.50 = 14,572.50/x
3. Step 3: Cross multiply
   13,146x = 14,572.50 × 14,572.50
4. Step 4: Simplify right side
   13,146x = 212,357,756.25
5. Step 5: Solve for x
   x = 212,357,756.25/13,146
6. Step 6: Final answer
   x = 16,153.79