Finding the Third Proportional to 33,316 and 70,374

Step by Step Solution

1. Step 1: Write the proportion equation
   33,316 : 70,374 = 70,374 : x
2. Step 2: Convert to fraction form
   33,316/70,374 = 70,374/x
3. Step 3: Cross multiply
   33,316x = 70,374 × 70,374
4. Step 4: Simplify right side
   33,316x = 4,952,499,876
5. Step 5: Solve for x
   x = 4,952,499,876/33,316
6. Step 6: Final answer
   x = 148,652.30