Finding the Third Proportional to 38,431 and 89,764

Step by Step Solution

1. Step 1: Write the proportion equation
   38,431 : 89,764 = 89,764 : x
2. Step 2: Convert to fraction form
   38,431/89,764 = 89,764/x
3. Step 3: Cross multiply
   38,431x = 89,764 × 89,764
4. Step 4: Simplify right side
   38,431x = 8,057,575,696
5. Step 5: Solve for x
   x = 8,057,575,696/38,431
6. Step 6: Final answer
   x = 209,663.44