Finding the Third Proportional to 10,984 and 24,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,984 : 24,152 = 24,152 : x
2. Step 2: Convert to fraction form
   10,984/24,152 = 24,152/x
3. Step 3: Cross multiply
   10,984x = 24,152 × 24,152
4. Step 4: Simplify right side
   10,984x = 583,319,104
5. Step 5: Solve for x
   x = 583,319,104/10,984
6. Step 6: Final answer
   x = 53,106.25