Finding the Third Proportional to 38,384 and 83,732

Step by Step Solution

1. Step 1: Write the proportion equation
   38,384 : 83,732 = 83,732 : x
2. Step 2: Convert to fraction form
   38,384/83,732 = 83,732/x
3. Step 3: Cross multiply
   38,384x = 83,732 × 83,732
4. Step 4: Simplify right side
   38,384x = 7,011,047,824
5. Step 5: Solve for x
   x = 7,011,047,824/38,384
6. Step 6: Final answer
   x = 182,655.48