Finding the Third Proportional to 35,936.50 and 78,089

Step by Step Solution

1. Step 1: Write the proportion equation
   35,936.50 : 78,089 = 78,089 : x
2. Step 2: Convert to fraction form
   35,936.50/78,089 = 78,089/x
3. Step 3: Cross multiply
   35,936.50x = 78,089 × 78,089
4. Step 4: Simplify right side
   35,936.50x = 6,097,891,921
5. Step 5: Solve for x
   x = 6,097,891,921/35,936.50
6. Step 6: Final answer
   x = 169,685.19