Finding the Third Proportional to 42,507 and 65,589

Step by Step Solution

1. Step 1: Write the proportion equation
   42,507 : 65,589 = 65,589 : x
2. Step 2: Convert to fraction form
   42,507/65,589 = 65,589/x
3. Step 3: Cross multiply
   42,507x = 65,589 × 65,589
4. Step 4: Simplify right side
   42,507x = 4,301,916,921
5. Step 5: Solve for x
   x = 4,301,916,921/42,507
6. Step 6: Final answer
   x = 101,204.91