Finding the Third Proportional to 35,766 and 78,536

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 78,536 = 78,536 : x
2. Step 2: Convert to fraction form
   35,766/78,536 = 78,536/x
3. Step 3: Cross multiply
   35,766x = 78,536 × 78,536
4. Step 4: Simplify right side
   35,766x = 6,167,903,296
5. Step 5: Solve for x
   x = 6,167,903,296/35,766
6. Step 6: Final answer
   x = 172,451.58