Finding the Third Proportional to 38,298.38 and 82,746

Step by Step Solution

1. Step 1: Write the proportion equation
   38,298.38 : 82,746 = 82,746 : x
2. Step 2: Convert to fraction form
   38,298.38/82,746 = 82,746/x
3. Step 3: Cross multiply
   38,298.38x = 82,746 × 82,746
4. Step 4: Simplify right side
   38,298.38x = 6,846,900,516
5. Step 5: Solve for x
   x = 6,846,900,516/38,298.38
6. Step 6: Final answer
   x = 178,777.83