Finding the Third Proportional to 35,237 and 73,381

Step by Step Solution

1. Step 1: Write the proportion equation
   35,237 : 73,381 = 73,381 : x
2. Step 2: Convert to fraction form
   35,237/73,381 = 73,381/x
3. Step 3: Cross multiply
   35,237x = 73,381 × 73,381
4. Step 4: Simplify right side
   35,237x = 5,384,771,161
5. Step 5: Solve for x
   x = 5,384,771,161/35,237
6. Step 6: Final answer
   x = 152,815.82