Finding the Third Proportional to 25,587 and 53,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,587 : 53,239.50 = 53,239.50 : x
2. Step 2: Convert to fraction form
   25,587/53,239.50 = 53,239.50/x
3. Step 3: Cross multiply
   25,587x = 53,239.50 × 53,239.50
4. Step 4: Simplify right side
   25,587x = 2,834,444,360.25
5. Step 5: Solve for x
   x = 2,834,444,360.25/25,587
6. Step 6: Final answer
   x = 110,776.74