Finding the Third Proportional to 25,777 and 37,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,777 : 37,909.50 = 37,909.50 : x
2. Step 2: Convert to fraction form
   25,777/37,909.50 = 37,909.50/x
3. Step 3: Cross multiply
   25,777x = 37,909.50 × 37,909.50
4. Step 4: Simplify right side
   25,777x = 1,437,130,190.25
5. Step 5: Solve for x
   x = 1,437,130,190.25/25,777
6. Step 6: Final answer
   x = 55,752.42