Finding the Third Proportional to 42,789 and 93,645

Step by Step Solution

1. Step 1: Write the proportion equation
   42,789 : 93,645 = 93,645 : x
2. Step 2: Convert to fraction form
   42,789/93,645 = 93,645/x
3. Step 3: Cross multiply
   42,789x = 93,645 × 93,645
4. Step 4: Simplify right side
   42,789x = 8,769,386,025
5. Step 5: Solve for x
   x = 8,769,386,025/42,789
6. Step 6: Final answer
   x = 204,944.87