Finding the Third Proportional to 40,538 and 58,659

Step by Step Solution

1. Step 1: Write the proportion equation
   40,538 : 58,659 = 58,659 : x
2. Step 2: Convert to fraction form
   40,538/58,659 = 58,659/x
3. Step 3: Cross multiply
   40,538x = 58,659 × 58,659
4. Step 4: Simplify right side
   40,538x = 3,440,878,281
5. Step 5: Solve for x
   x = 3,440,878,281/40,538
6. Step 6: Final answer
   x = 84,880.32