Finding the Third Proportional to 37,402 and 80,749

Step by Step Solution

1. Step 1: Write the proportion equation
   37,402 : 80,749 = 80,749 : x
2. Step 2: Convert to fraction form
   37,402/80,749 = 80,749/x
3. Step 3: Cross multiply
   37,402x = 80,749 × 80,749
4. Step 4: Simplify right side
   37,402x = 6,520,401,001
5. Step 5: Solve for x
   x = 6,520,401,001/37,402
6. Step 6: Final answer
   x = 174,332.95