Finding the Third Proportional to 38,196 and 83,914

Step by Step Solution

1. Step 1: Write the proportion equation
   38,196 : 83,914 = 83,914 : x
2. Step 2: Convert to fraction form
   38,196/83,914 = 83,914/x
3. Step 3: Cross multiply
   38,196x = 83,914 × 83,914
4. Step 4: Simplify right side
   38,196x = 7,041,559,396
5. Step 5: Solve for x
   x = 7,041,559,396/38,196
6. Step 6: Final answer
   x = 184,353.32