Finding the Third Proportional to 36,390 and 77,156

Step by Step Solution

1. Step 1: Write the proportion equation
   36,390 : 77,156 = 77,156 : x
2. Step 2: Convert to fraction form
   36,390/77,156 = 77,156/x
3. Step 3: Cross multiply
   36,390x = 77,156 × 77,156
4. Step 4: Simplify right side
   36,390x = 5,953,048,336
5. Step 5: Solve for x
   x = 5,953,048,336/36,390
6. Step 6: Final answer
   x = 163,590.23