Finding the Third Proportional to 23,384 and 51,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,384 : 51,690.50 = 51,690.50 : x
2. Step 2: Convert to fraction form
   23,384/51,690.50 = 51,690.50/x
3. Step 3: Cross multiply
   23,384x = 51,690.50 × 51,690.50
4. Step 4: Simplify right side
   23,384x = 2,671,907,790.25
5. Step 5: Solve for x
   x = 2,671,907,790.25/23,384
6. Step 6: Final answer
   x = 114,262.22