Finding the Third Proportional to 49,624 and 70,746

Step by Step Solution

1. Step 1: Write the proportion equation
   49,624 : 70,746 = 70,746 : x
2. Step 2: Convert to fraction form
   49,624/70,746 = 70,746/x
3. Step 3: Cross multiply
   49,624x = 70,746 × 70,746
4. Step 4: Simplify right side
   49,624x = 5,004,996,516
5. Step 5: Solve for x
   x = 5,004,996,516/49,624
6. Step 6: Final answer
   x = 100,858.39