Finding the Third Proportional to 13,600 and 19,152

Step by Step Solution

1. Step 1: Write the proportion equation
   13,600 : 19,152 = 19,152 : x
2. Step 2: Convert to fraction form
   13,600/19,152 = 19,152/x
3. Step 3: Cross multiply
   13,600x = 19,152 × 19,152
4. Step 4: Simplify right side
   13,600x = 366,799,104
5. Step 5: Solve for x
   x = 366,799,104/13,600
6. Step 6: Final answer
   x = 26,970.52