Finding the Third Proportional to 25,667 and 37,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,667 : 37,669.50 = 37,669.50 : x
2. Step 2: Convert to fraction form
   25,667/37,669.50 = 37,669.50/x
3. Step 3: Cross multiply
   25,667x = 37,669.50 × 37,669.50
4. Step 4: Simplify right side
   25,667x = 1,418,991,230.25
5. Step 5: Solve for x
   x = 1,418,991,230.25/25,667
6. Step 6: Final answer
   x = 55,284.65