Finding the Third Proportional to 38,439.56 and 82,627.59

Step by Step Solution

1. Step 1: Write the proportion equation
   38,439.56 : 82,627.59 = 82,627.59 : x
2. Step 2: Convert to fraction form
   38,439.56/82,627.59 = 82,627.59/x
3. Step 3: Cross multiply
   38,439.56x = 82,627.59 × 82,627.59
4. Step 4: Simplify right side
   38,439.56x = 6,827,319,248.92
5. Step 5: Solve for x
   x = 6,827,319,248.92/38,439.56
6. Step 6: Final answer
   x = 177,611.78