Finding the Third Proportional to 21,384 and 34,152

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 34,152 = 34,152 : x
2. Step 2: Convert to fraction form
   21,384/34,152 = 34,152/x
3. Step 3: Cross multiply
   21,384x = 34,152 × 34,152
4. Step 4: Simplify right side
   21,384x = 1,166,359,104
5. Step 5: Solve for x
   x = 1,166,359,104/21,384
6. Step 6: Final answer
   x = 54,543.54