Finding the Third Proportional to 46,116 and 69,590

Step by Step Solution

1. Step 1: Write the proportion equation
   46,116 : 69,590 = 69,590 : x
2. Step 2: Convert to fraction form
   46,116/69,590 = 69,590/x
3. Step 3: Cross multiply
   46,116x = 69,590 × 69,590
4. Step 4: Simplify right side
   46,116x = 4,842,768,100
5. Step 5: Solve for x
   x = 4,842,768,100/46,116
6. Step 6: Final answer
   x = 105,012.75