Finding the Third Proportional to 41,688 and 56,964

Step by Step Solution

1. Step 1: Write the proportion equation
   41,688 : 56,964 = 56,964 : x
2. Step 2: Convert to fraction form
   41,688/56,964 = 56,964/x
3. Step 3: Cross multiply
   41,688x = 56,964 × 56,964
4. Step 4: Simplify right side
   41,688x = 3,244,897,296
5. Step 5: Solve for x
   x = 3,244,897,296/41,688
6. Step 6: Final answer
   x = 77,837.68