Finding the Third Proportional to 33,506 and 70,456

Step by Step Solution

1. Step 1: Write the proportion equation
   33,506 : 70,456 = 70,456 : x
2. Step 2: Convert to fraction form
   33,506/70,456 = 70,456/x
3. Step 3: Cross multiply
   33,506x = 70,456 × 70,456
4. Step 4: Simplify right side
   33,506x = 4,964,047,936
5. Step 5: Solve for x
   x = 4,964,047,936/33,506
6. Step 6: Final answer
   x = 148,154.00