Finding the Third Proportional to 47,078 and 69,046

Step by Step Solution

1. Step 1: Write the proportion equation
   47,078 : 69,046 = 69,046 : x
2. Step 2: Convert to fraction form
   47,078/69,046 = 69,046/x
3. Step 3: Cross multiply
   47,078x = 69,046 × 69,046
4. Step 4: Simplify right side
   47,078x = 4,767,350,116
5. Step 5: Solve for x
   x = 4,767,350,116/47,078
6. Step 6: Final answer
   x = 101,264.92