Finding the Third Proportional to 25,741.50 and 41,106

Step by Step Solution

1. Step 1: Write the proportion equation
   25,741.50 : 41,106 = 41,106 : x
2. Step 2: Convert to fraction form
   25,741.50/41,106 = 41,106/x
3. Step 3: Cross multiply
   25,741.50x = 41,106 × 41,106
4. Step 4: Simplify right side
   25,741.50x = 1,689,703,236
5. Step 5: Solve for x
   x = 1,689,703,236/25,741.50
6. Step 6: Final answer
   x = 65,641.21