Finding the Third Proportional to 25,677 and 38,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,677 : 38,344.50 = 38,344.50 : x
2. Step 2: Convert to fraction form
   25,677/38,344.50 = 38,344.50/x
3. Step 3: Cross multiply
   25,677x = 38,344.50 × 38,344.50
4. Step 4: Simplify right side
   25,677x = 1,470,300,680.25
5. Step 5: Solve for x
   x = 1,470,300,680.25/25,677
6. Step 6: Final answer
   x = 57,261.39