Finding the Third Proportional to 42,669 and 61,462

Step by Step Solution

1. Step 1: Write the proportion equation
   42,669 : 61,462 = 61,462 : x
2. Step 2: Convert to fraction form
   42,669/61,462 = 61,462/x
3. Step 3: Cross multiply
   42,669x = 61,462 × 61,462
4. Step 4: Simplify right side
   42,669x = 3,777,577,444
5. Step 5: Solve for x
   x = 3,777,577,444/42,669
6. Step 6: Final answer
   x = 88,532.13