Finding the Third Proportional to 42,664 and 91,600

Step by Step Solution

1. Step 1: Write the proportion equation
   42,664 : 91,600 = 91,600 : x
2. Step 2: Convert to fraction form
   42,664/91,600 = 91,600/x
3. Step 3: Cross multiply
   42,664x = 91,600 × 91,600
4. Step 4: Simplify right side
   42,664x = 8,390,560,000
5. Step 5: Solve for x
   x = 8,390,560,000/42,664
6. Step 6: Final answer
   x = 196,666.04