Finding the Third Proportional to 33,116 and 70,972

Step by Step Solution

1. Step 1: Write the proportion equation
   33,116 : 70,972 = 70,972 : x
2. Step 2: Convert to fraction form
   33,116/70,972 = 70,972/x
3. Step 3: Cross multiply
   33,116x = 70,972 × 70,972
4. Step 4: Simplify right side
   33,116x = 5,037,024,784
5. Step 5: Solve for x
   x = 5,037,024,784/33,116
6. Step 6: Final answer
   x = 152,102.45