Finding the Third Proportional to 33,376 and 71,046

Step by Step Solution

1. Step 1: Write the proportion equation
   33,376 : 71,046 = 71,046 : x
2. Step 2: Convert to fraction form
   33,376/71,046 = 71,046/x
3. Step 3: Cross multiply
   33,376x = 71,046 × 71,046
4. Step 4: Simplify right side
   33,376x = 5,047,534,116
5. Step 5: Solve for x
   x = 5,047,534,116/33,376
6. Step 6: Final answer
   x = 151,232.45