Finding the Third Proportional to 40,176 and 58,440

Step by Step Solution

1. Step 1: Write the proportion equation
   40,176 : 58,440 = 58,440 : x
2. Step 2: Convert to fraction form
   40,176/58,440 = 58,440/x
3. Step 3: Cross multiply
   40,176x = 58,440 × 58,440
4. Step 4: Simplify right side
   40,176x = 3,415,233,600
5. Step 5: Solve for x
   x = 3,415,233,600/40,176
6. Step 6: Final answer
   x = 85,006.81