Finding the Third Proportional to 38,372 and 83,856

Step by Step Solution

1. Step 1: Write the proportion equation
   38,372 : 83,856 = 83,856 : x
2. Step 2: Convert to fraction form
   38,372/83,856 = 83,856/x
3. Step 3: Cross multiply
   38,372x = 83,856 × 83,856
4. Step 4: Simplify right side
   38,372x = 7,031,828,736
5. Step 5: Solve for x
   x = 7,031,828,736/38,372
6. Step 6: Final answer
   x = 183,254.16