Finding the Third Proportional to 42,296 and 95,376

Step by Step Solution

1. Step 1: Write the proportion equation
   42,296 : 95,376 = 95,376 : x
2. Step 2: Convert to fraction form
   42,296/95,376 = 95,376/x
3. Step 3: Cross multiply
   42,296x = 95,376 × 95,376
4. Step 4: Simplify right side
   42,296x = 9,096,581,376
5. Step 5: Solve for x
   x = 9,096,581,376/42,296
6. Step 6: Final answer
   x = 215,069.54