Finding the Third Proportional to 25,381 and 37,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,381 : 37,205.50 = 37,205.50 : x
2. Step 2: Convert to fraction form
   25,381/37,205.50 = 37,205.50/x
3. Step 3: Cross multiply
   25,381x = 37,205.50 × 37,205.50
4. Step 4: Simplify right side
   25,381x = 1,384,249,230.25
5. Step 5: Solve for x
   x = 1,384,249,230.25/25,381
6. Step 6: Final answer
   x = 54,538.80