Finding the Third Proportional to 25,538 and 39,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,538 : 39,634.50 = 39,634.50 : x
2. Step 2: Convert to fraction form
   25,538/39,634.50 = 39,634.50/x
3. Step 3: Cross multiply
   25,538x = 39,634.50 × 39,634.50
4. Step 4: Simplify right side
   25,538x = 1,570,893,590.25
5. Step 5: Solve for x
   x = 1,570,893,590.25/25,538
6. Step 6: Final answer
   x = 61,512.01