Finding the Third Proportional to 33,754 and 78,141

Step by Step Solution

1. Step 1: Write the proportion equation
   33,754 : 78,141 = 78,141 : x
2. Step 2: Convert to fraction form
   33,754/78,141 = 78,141/x
3. Step 3: Cross multiply
   33,754x = 78,141 × 78,141
4. Step 4: Simplify right side
   33,754x = 6,106,015,881
5. Step 5: Solve for x
   x = 6,106,015,881/33,754
6. Step 6: Final answer
   x = 180,897.55