Finding the Third Proportional to 42,842 and 65,010

Step by Step Solution

1. Step 1: Write the proportion equation
   42,842 : 65,010 = 65,010 : x
2. Step 2: Convert to fraction form
   42,842/65,010 = 65,010/x
3. Step 3: Cross multiply
   42,842x = 65,010 × 65,010
4. Step 4: Simplify right side
   42,842x = 4,226,300,100
5. Step 5: Solve for x
   x = 4,226,300,100/42,842
6. Step 6: Final answer
   x = 98,648.52