Finding the Third Proportional to 25,857 and 38,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,857 : 38,749.50 = 38,749.50 : x
2. Step 2: Convert to fraction form
   25,857/38,749.50 = 38,749.50/x
3. Step 3: Cross multiply
   25,857x = 38,749.50 × 38,749.50
4. Step 4: Simplify right side
   25,857x = 1,501,523,750.25
5. Step 5: Solve for x
   x = 1,501,523,750.25/25,857
6. Step 6: Final answer
   x = 58,070.30