Finding the Third Proportional to 25,843.50 and 38,279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,843.50 : 38,279.25 = 38,279.25 : x
2. Step 2: Convert to fraction form
   25,843.50/38,279.25 = 38,279.25/x
3. Step 3: Cross multiply
   25,843.50x = 38,279.25 × 38,279.25
4. Step 4: Simplify right side
   25,843.50x = 1,465,300,980.56
5. Step 5: Solve for x
   x = 1,465,300,980.56/25,843.50
6. Step 6: Final answer
   x = 56,699.01