Finding the Third Proportional to 38,146 and 78,936

Step by Step Solution

1. Step 1: Write the proportion equation
   38,146 : 78,936 = 78,936 : x
2. Step 2: Convert to fraction form
   38,146/78,936 = 78,936/x
3. Step 3: Cross multiply
   38,146x = 78,936 × 78,936
4. Step 4: Simplify right side
   38,146x = 6,230,892,096
5. Step 5: Solve for x
   x = 6,230,892,096/38,146
6. Step 6: Final answer
   x = 163,343.26