Finding the Third Proportional to 42,812 and 91,164

Step by Step Solution

1. Step 1: Write the proportion equation
   42,812 : 91,164 = 91,164 : x
2. Step 2: Convert to fraction form
   42,812/91,164 = 91,164/x
3. Step 3: Cross multiply
   42,812x = 91,164 × 91,164
4. Step 4: Simplify right side
   42,812x = 8,310,874,896
5. Step 5: Solve for x
   x = 8,310,874,896/42,812
6. Step 6: Final answer
   x = 194,124.89