Finding the Third Proportional to 36,089 and 78,736

Step by Step Solution

1. Step 1: Write the proportion equation
   36,089 : 78,736 = 78,736 : x
2. Step 2: Convert to fraction form
   36,089/78,736 = 78,736/x
3. Step 3: Cross multiply
   36,089x = 78,736 × 78,736
4. Step 4: Simplify right side
   36,089x = 6,199,357,696
5. Step 5: Solve for x
   x = 6,199,357,696/36,089
6. Step 6: Final answer
   x = 171,779.70