Finding the Third Proportional to 10,416 and 18,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 18,152 = 18,152 : x
2. Step 2: Convert to fraction form
   10,416/18,152 = 18,152/x
3. Step 3: Cross multiply
   10,416x = 18,152 × 18,152
4. Step 4: Simplify right side
   10,416x = 329,495,104
5. Step 5: Solve for x
   x = 329,495,104/10,416
6. Step 6: Final answer
   x = 31,633.55