Finding the Third Proportional to 41,658.50 and 89,971

Step by Step Solution

1. Step 1: Write the proportion equation
   41,658.50 : 89,971 = 89,971 : x
2. Step 2: Convert to fraction form
   41,658.50/89,971 = 89,971/x
3. Step 3: Cross multiply
   41,658.50x = 89,971 × 89,971
4. Step 4: Simplify right side
   41,658.50x = 8,094,780,841
5. Step 5: Solve for x
   x = 8,094,780,841/41,658.50
6. Step 6: Final answer
   x = 194,312.83