Finding the Third Proportional to 30,178 and 42,210

Step by Step Solution

1. Step 1: Write the proportion equation
   30,178 : 42,210 = 42,210 : x
2. Step 2: Convert to fraction form
   30,178/42,210 = 42,210/x
3. Step 3: Cross multiply
   30,178x = 42,210 × 42,210
4. Step 4: Simplify right side
   30,178x = 1,781,684,100
5. Step 5: Solve for x
   x = 1,781,684,100/30,178
6. Step 6: Final answer
   x = 59,039.17