Finding the Third Proportional to 23,582.25 and 51,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,582.25 : 51,322.50 = 51,322.50 : x
2. Step 2: Convert to fraction form
   23,582.25/51,322.50 = 51,322.50/x
3. Step 3: Cross multiply
   23,582.25x = 51,322.50 × 51,322.50
4. Step 4: Simplify right side
   23,582.25x = 2,633,999,006.25
5. Step 5: Solve for x
   x = 2,633,999,006.25/23,582.25
6. Step 6: Final answer
   x = 111,694.13