Finding the Third Proportional to 38,698 and 83,780

Step by Step Solution

1. Step 1: Write the proportion equation
   38,698 : 83,780 = 83,780 : x
2. Step 2: Convert to fraction form
   38,698/83,780 = 83,780/x
3. Step 3: Cross multiply
   38,698x = 83,780 × 83,780
4. Step 4: Simplify right side
   38,698x = 7,019,088,400
5. Step 5: Solve for x
   x = 7,019,088,400/38,698
6. Step 6: Final answer
   x = 181,381.17