Finding the Third Proportional to 46,126 and 69,606

Step by Step Solution

1. Step 1: Write the proportion equation
   46,126 : 69,606 = 69,606 : x
2. Step 2: Convert to fraction form
   46,126/69,606 = 69,606/x
3. Step 3: Cross multiply
   46,126x = 69,606 × 69,606
4. Step 4: Simplify right side
   46,126x = 4,844,995,236
5. Step 5: Solve for x
   x = 4,844,995,236/46,126
6. Step 6: Final answer
   x = 105,038.27