Finding the Third Proportional to 25,886.25 and 38,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886.25 : 38,596.50 = 38,596.50 : x
2. Step 2: Convert to fraction form
   25,886.25/38,596.50 = 38,596.50/x
3. Step 3: Cross multiply
   25,886.25x = 38,596.50 × 38,596.50
4. Step 4: Simplify right side
   25,886.25x = 1,489,689,812.25
5. Step 5: Solve for x
   x = 1,489,689,812.25/25,886.25
6. Step 6: Final answer
   x = 57,547.53