Finding the Third Proportional to 10,152 and 14,796

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 14,796 = 14,796 : x
2. Step 2: Convert to fraction form
   10,152/14,796 = 14,796/x
3. Step 3: Cross multiply
   10,152x = 14,796 × 14,796
4. Step 4: Simplify right side
   10,152x = 218,921,616
5. Step 5: Solve for x
   x = 218,921,616/10,152
6. Step 6: Final answer
   x = 21,564.38