Finding the Third Proportional to 25,641 and 37,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,641 : 37,453.50 = 37,453.50 : x
2. Step 2: Convert to fraction form
   25,641/37,453.50 = 37,453.50/x
3. Step 3: Cross multiply
   25,641x = 37,453.50 × 37,453.50
4. Step 4: Simplify right side
   25,641x = 1,402,764,662.25
5. Step 5: Solve for x
   x = 1,402,764,662.25/25,641
6. Step 6: Final answer
   x = 54,707.88