Finding the Third Proportional to 15,835.50 and 25,727.63

Step by Step Solution

1. Step 1: Write the proportion equation
   15,835.50 : 25,727.63 = 25,727.63 : x
2. Step 2: Convert to fraction form
   15,835.50/25,727.63 = 25,727.63/x
3. Step 3: Cross multiply
   15,835.50x = 25,727.63 × 25,727.63
4. Step 4: Simplify right side
   15,835.50x = 661,910,688.14
5. Step 5: Solve for x
   x = 661,910,688.14/15,835.50
6. Step 6: Final answer
   x = 41,799.17