Finding the Third Proportional to 38,322 and 83,772

Step by Step Solution

1. Step 1: Write the proportion equation
   38,322 : 83,772 = 83,772 : x
2. Step 2: Convert to fraction form
   38,322/83,772 = 83,772/x
3. Step 3: Cross multiply
   38,322x = 83,772 × 83,772
4. Step 4: Simplify right side
   38,322x = 7,017,747,984
5. Step 5: Solve for x
   x = 7,017,747,984/38,322
6. Step 6: Final answer
   x = 183,125.83