Finding the Third Proportional to 25,646.50 and 38,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,646.50 : 38,638.50 = 38,638.50 : x
2. Step 2: Convert to fraction form
   25,646.50/38,638.50 = 38,638.50/x
3. Step 3: Cross multiply
   25,646.50x = 38,638.50 × 38,638.50
4. Step 4: Simplify right side
   25,646.50x = 1,492,933,682.25
5. Step 5: Solve for x
   x = 1,492,933,682.25/25,646.50
6. Step 6: Final answer
   x = 58,211.99