Finding the Third Proportional to 14,194 and 33,152

Step by Step Solution

1. Step 1: Write the proportion equation
   14,194 : 33,152 = 33,152 : x
2. Step 2: Convert to fraction form
   14,194/33,152 = 33,152/x
3. Step 3: Cross multiply
   14,194x = 33,152 × 33,152
4. Step 4: Simplify right side
   14,194x = 1,099,055,104
5. Step 5: Solve for x
   x = 1,099,055,104/14,194
6. Step 6: Final answer
   x = 77,430.96