Finding the Third Proportional to 30,176 and 42,207

Step by Step Solution

1. Step 1: Write the proportion equation
   30,176 : 42,207 = 42,207 : x
2. Step 2: Convert to fraction form
   30,176/42,207 = 42,207/x
3. Step 3: Cross multiply
   30,176x = 42,207 × 42,207
4. Step 4: Simplify right side
   30,176x = 1,781,430,849
5. Step 5: Solve for x
   x = 1,781,430,849/30,176
6. Step 6: Final answer
   x = 59,034.69