Finding the Third Proportional to 25,823.50 and 38,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,823.50 : 38,254.50 = 38,254.50 : x
2. Step 2: Convert to fraction form
   25,823.50/38,254.50 = 38,254.50/x
3. Step 3: Cross multiply
   25,823.50x = 38,254.50 × 38,254.50
4. Step 4: Simplify right side
   25,823.50x = 1,463,406,770.25
5. Step 5: Solve for x
   x = 1,463,406,770.25/25,823.50
6. Step 6: Final answer
   x = 56,669.58