Finding the Third Proportional to 25,927.50 and 40,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,927.50 : 40,106.25 = 40,106.25 : x
2. Step 2: Convert to fraction form
   25,927.50/40,106.25 = 40,106.25/x
3. Step 3: Cross multiply
   25,927.50x = 40,106.25 × 40,106.25
4. Step 4: Simplify right side
   25,927.50x = 1,608,511,289.06
5. Step 5: Solve for x
   x = 1,608,511,289.06/25,927.50
6. Step 6: Final answer
   x = 62,038.81