Finding the Third Proportional to 46,116 and 69,592

Step by Step Solution

1. Step 1: Write the proportion equation
   46,116 : 69,592 = 69,592 : x
2. Step 2: Convert to fraction form
   46,116/69,592 = 69,592/x
3. Step 3: Cross multiply
   46,116x = 69,592 × 69,592
4. Step 4: Simplify right side
   46,116x = 4,843,046,464
5. Step 5: Solve for x
   x = 4,843,046,464/46,116
6. Step 6: Final answer
   x = 105,018.79