Finding the Third Proportional to 25,527 and 37,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,527 : 37,561.50 = 37,561.50 : x
2. Step 2: Convert to fraction form
   25,527/37,561.50 = 37,561.50/x
3. Step 3: Cross multiply
   25,527x = 37,561.50 × 37,561.50
4. Step 4: Simplify right side
   25,527x = 1,410,866,282.25
5. Step 5: Solve for x
   x = 1,410,866,282.25/25,527
6. Step 6: Final answer
   x = 55,269.57