Finding the Third Proportional to 10,152 and 14,532

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 14,532 = 14,532 : x
2. Step 2: Convert to fraction form
   10,152/14,532 = 14,532/x
3. Step 3: Cross multiply
   10,152x = 14,532 × 14,532
4. Step 4: Simplify right side
   10,152x = 211,179,024
5. Step 5: Solve for x
   x = 211,179,024/10,152
6. Step 6: Final answer
   x = 20,801.72