Finding the Third Proportional to 40,536 and 58,656

Step by Step Solution

1. Step 1: Write the proportion equation
   40,536 : 58,656 = 58,656 : x
2. Step 2: Convert to fraction form
   40,536/58,656 = 58,656/x
3. Step 3: Cross multiply
   40,536x = 58,656 × 58,656
4. Step 4: Simplify right side
   40,536x = 3,440,526,336
5. Step 5: Solve for x
   x = 3,440,526,336/40,536
6. Step 6: Final answer
   x = 84,875.82