Finding the Third Proportional to 42,000 and 89,724

Step by Step Solution

1. Step 1: Write the proportion equation
   42,000 : 89,724 = 89,724 : x
2. Step 2: Convert to fraction form
   42,000/89,724 = 89,724/x
3. Step 3: Cross multiply
   42,000x = 89,724 × 89,724
4. Step 4: Simplify right side
   42,000x = 8,050,396,176
5. Step 5: Solve for x
   x = 8,050,396,176/42,000
6. Step 6: Final answer
   x = 191,676.10