Finding the Third Proportional to 35,194 and 73,290

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194 : 73,290 = 73,290 : x
2. Step 2: Convert to fraction form
   35,194/73,290 = 73,290/x
3. Step 3: Cross multiply
   35,194x = 73,290 × 73,290
4. Step 4: Simplify right side
   35,194x = 5,371,424,100
5. Step 5: Solve for x
   x = 5,371,424,100/35,194
6. Step 6: Final answer
   x = 152,623.29