Finding the Third Proportional to 35,866 and 78,092

Step by Step Solution

1. Step 1: Write the proportion equation
   35,866 : 78,092 = 78,092 : x
2. Step 2: Convert to fraction form
   35,866/78,092 = 78,092/x
3. Step 3: Cross multiply
   35,866x = 78,092 × 78,092
4. Step 4: Simplify right side
   35,866x = 6,098,360,464
5. Step 5: Solve for x
   x = 6,098,360,464/35,866
6. Step 6: Final answer
   x = 170,031.80