Finding the Third Proportional to 25,501 and 42,142

Step by Step Solution

1. Step 1: Write the proportion equation
   25,501 : 42,142 = 42,142 : x
2. Step 2: Convert to fraction form
   25,501/42,142 = 42,142/x
3. Step 3: Cross multiply
   25,501x = 42,142 × 42,142
4. Step 4: Simplify right side
   25,501x = 1,775,948,164
5. Step 5: Solve for x
   x = 1,775,948,164/25,501
6. Step 6: Final answer
   x = 69,642.29