Finding the Third Proportional to 38,429 and 89,759

Step by Step Solution

1. Step 1: Write the proportion equation
   38,429 : 89,759 = 89,759 : x
2. Step 2: Convert to fraction form
   38,429/89,759 = 89,759/x
3. Step 3: Cross multiply
   38,429x = 89,759 × 89,759
4. Step 4: Simplify right side
   38,429x = 8,056,678,081
5. Step 5: Solve for x
   x = 8,056,678,081/38,429
6. Step 6: Final answer
   x = 209,650.99