Finding the Third Proportional to 37,636 and 79,492

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 79,492 = 79,492 : x
2. Step 2: Convert to fraction form
   37,636/79,492 = 79,492/x
3. Step 3: Cross multiply
   37,636x = 79,492 × 79,492
4. Step 4: Simplify right side
   37,636x = 6,318,978,064
5. Step 5: Solve for x
   x = 6,318,978,064/37,636
6. Step 6: Final answer
   x = 167,897.17