Finding the Third Proportional to 42,384 and 91,428

Step by Step Solution

1. Step 1: Write the proportion equation
   42,384 : 91,428 = 91,428 : x
2. Step 2: Convert to fraction form
   42,384/91,428 = 91,428/x
3. Step 3: Cross multiply
   42,384x = 91,428 × 91,428
4. Step 4: Simplify right side
   42,384x = 8,359,079,184
5. Step 5: Solve for x
   x = 8,359,079,184/42,384
6. Step 6: Final answer
   x = 197,222.52