Finding the Third Proportional to 25,964 and 42,186

Step by Step Solution

1. Step 1: Write the proportion equation
   25,964 : 42,186 = 42,186 : x
2. Step 2: Convert to fraction form
   25,964/42,186 = 42,186/x
3. Step 3: Cross multiply
   25,964x = 42,186 × 42,186
4. Step 4: Simplify right side
   25,964x = 1,779,658,596
5. Step 5: Solve for x
   x = 1,779,658,596/25,964
6. Step 6: Final answer
   x = 68,543.31