Finding the Third Proportional to 46,386 and 69,791

Step by Step Solution

1. Step 1: Write the proportion equation
   46,386 : 69,791 = 69,791 : x
2. Step 2: Convert to fraction form
   46,386/69,791 = 69,791/x
3. Step 3: Cross multiply
   46,386x = 69,791 × 69,791
4. Step 4: Simplify right side
   46,386x = 4,870,783,681
5. Step 5: Solve for x
   x = 4,870,783,681/46,386
6. Step 6: Final answer
   x = 105,005.47