Finding the Third Proportional to 33,664 and 70,712

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 70,712 = 70,712 : x
2. Step 2: Convert to fraction form
   33,664/70,712 = 70,712/x
3. Step 3: Cross multiply
   33,664x = 70,712 × 70,712
4. Step 4: Simplify right side
   33,664x = 5,000,186,944
5. Step 5: Solve for x
   x = 5,000,186,944/33,664
6. Step 6: Final answer
   x = 148,532.17