Finding the Third Proportional to 23,818 and 52,364

Step by Step Solution

1. Step 1: Write the proportion equation
   23,818 : 52,364 = 52,364 : x
2. Step 2: Convert to fraction form
   23,818/52,364 = 52,364/x
3. Step 3: Cross multiply
   23,818x = 52,364 × 52,364
4. Step 4: Simplify right side
   23,818x = 2,741,988,496
5. Step 5: Solve for x
   x = 2,741,988,496/23,818
6. Step 6: Final answer
   x = 115,122.53