Finding the Third Proportional to 42,600 and 91,368

Step by Step Solution

1. Step 1: Write the proportion equation
   42,600 : 91,368 = 91,368 : x
2. Step 2: Convert to fraction form
   42,600/91,368 = 91,368/x
3. Step 3: Cross multiply
   42,600x = 91,368 × 91,368
4. Step 4: Simplify right side
   42,600x = 8,348,111,424
5. Step 5: Solve for x
   x = 8,348,111,424/42,600
6. Step 6: Final answer
   x = 195,965.06