Finding the Third Proportional to 25,378 and 37,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,378 : 37,237.50 = 37,237.50 : x
2. Step 2: Convert to fraction form
   25,378/37,237.50 = 37,237.50/x
3. Step 3: Cross multiply
   25,378x = 37,237.50 × 37,237.50
4. Step 4: Simplify right side
   25,378x = 1,386,631,406.25
5. Step 5: Solve for x
   x = 1,386,631,406.25/25,378
6. Step 6: Final answer
   x = 54,639.11