Finding the Third Proportional to 43,680 and 65,916

Step by Step Solution

1. Step 1: Write the proportion equation
   43,680 : 65,916 = 65,916 : x
2. Step 2: Convert to fraction form
   43,680/65,916 = 65,916/x
3. Step 3: Cross multiply
   43,680x = 65,916 × 65,916
4. Step 4: Simplify right side
   43,680x = 4,344,919,056
5. Step 5: Solve for x
   x = 4,344,919,056/43,680
6. Step 6: Final answer
   x = 99,471.59