Finding the Third Proportional to 33,210 and 70,470

Step by Step Solution

1. Step 1: Write the proportion equation
   33,210 : 70,470 = 70,470 : x
2. Step 2: Convert to fraction form
   33,210/70,470 = 70,470/x
3. Step 3: Cross multiply
   33,210x = 70,470 × 70,470
4. Step 4: Simplify right side
   33,210x = 4,966,020,900
5. Step 5: Solve for x
   x = 4,966,020,900/33,210
6. Step 6: Final answer
   x = 149,533.90