Finding the Third Proportional to 38,036.50 and 55,646

Step by Step Solution

1. Step 1: Write the proportion equation
   38,036.50 : 55,646 = 55,646 : x
2. Step 2: Convert to fraction form
   38,036.50/55,646 = 55,646/x
3. Step 3: Cross multiply
   38,036.50x = 55,646 × 55,646
4. Step 4: Simplify right side
   38,036.50x = 3,096,477,316
5. Step 5: Solve for x
   x = 3,096,477,316/38,036.50
6. Step 6: Final answer
   x = 81,408.05