Finding the Third Proportional to 25,512 and 38,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,512 : 38,293.50 = 38,293.50 : x
2. Step 2: Convert to fraction form
   25,512/38,293.50 = 38,293.50/x
3. Step 3: Cross multiply
   25,512x = 38,293.50 × 38,293.50
4. Step 4: Simplify right side
   25,512x = 1,466,392,142.25
5. Step 5: Solve for x
   x = 1,466,392,142.25/25,512
6. Step 6: Final answer
   x = 57,478.53