Finding the Third Proportional to 25,368 and 37,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,368 : 37,078.50 = 37,078.50 : x
2. Step 2: Convert to fraction form
   25,368/37,078.50 = 37,078.50/x
3. Step 3: Cross multiply
   25,368x = 37,078.50 × 37,078.50
4. Step 4: Simplify right side
   25,368x = 1,374,815,162.25
5. Step 5: Solve for x
   x = 1,374,815,162.25/25,368
6. Step 6: Final answer
   x = 54,194.86