Finding the Third Proportional to 45,888 and 69,216

Step by Step Solution

1. Step 1: Write the proportion equation
   45,888 : 69,216 = 69,216 : x
2. Step 2: Convert to fraction form
   45,888/69,216 = 69,216/x
3. Step 3: Cross multiply
   45,888x = 69,216 × 69,216
4. Step 4: Simplify right side
   45,888x = 4,790,854,656
5. Step 5: Solve for x
   x = 4,790,854,656/45,888
6. Step 6: Final answer
   x = 104,403.21