Finding the Third Proportional to 33,461 and 72,754

Step by Step Solution

1. Step 1: Write the proportion equation
   33,461 : 72,754 = 72,754 : x
2. Step 2: Convert to fraction form
   33,461/72,754 = 72,754/x
3. Step 3: Cross multiply
   33,461x = 72,754 × 72,754
4. Step 4: Simplify right side
   33,461x = 5,293,144,516
5. Step 5: Solve for x
   x = 5,293,144,516/33,461
6. Step 6: Final answer
   x = 158,188.47