Finding the Third Proportional to 49,624 and 69,404

Step by Step Solution

1. Step 1: Write the proportion equation
   49,624 : 69,404 = 69,404 : x
2. Step 2: Convert to fraction form
   49,624/69,404 = 69,404/x
3. Step 3: Cross multiply
   49,624x = 69,404 × 69,404
4. Step 4: Simplify right side
   49,624x = 4,816,915,216
5. Step 5: Solve for x
   x = 4,816,915,216/49,624
6. Step 6: Final answer
   x = 97,068.26