Finding the Third Proportional to 38,358 and 82,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,358 : 82,046.25 = 82,046.25 : x
2. Step 2: Convert to fraction form
   38,358/82,046.25 = 82,046.25/x
3. Step 3: Cross multiply
   38,358x = 82,046.25 × 82,046.25
4. Step 4: Simplify right side
   38,358x = 6,731,587,139.06
5. Step 5: Solve for x
   x = 6,731,587,139.06/38,358
6. Step 6: Final answer
   x = 175,493.69