Finding the Third Proportional to 40,864 and 56,264

Step by Step Solution

1. Step 1: Write the proportion equation
   40,864 : 56,264 = 56,264 : x
2. Step 2: Convert to fraction form
   40,864/56,264 = 56,264/x
3. Step 3: Cross multiply
   40,864x = 56,264 × 56,264
4. Step 4: Simplify right side
   40,864x = 3,165,637,696
5. Step 5: Solve for x
   x = 3,165,637,696/40,864
6. Step 6: Final answer
   x = 77,467.64