Finding the Third Proportional to 35,788 and 76,196

Step by Step Solution

1. Step 1: Write the proportion equation
   35,788 : 76,196 = 76,196 : x
2. Step 2: Convert to fraction form
   35,788/76,196 = 76,196/x
3. Step 3: Cross multiply
   35,788x = 76,196 × 76,196
4. Step 4: Simplify right side
   35,788x = 5,805,830,416
5. Step 5: Solve for x
   x = 5,805,830,416/35,788
6. Step 6: Final answer
   x = 162,228.41