Finding the Third Proportional to 37,666 and 51,098

Step by Step Solution

1. Step 1: Write the proportion equation
   37,666 : 51,098 = 51,098 : x
2. Step 2: Convert to fraction form
   37,666/51,098 = 51,098/x
3. Step 3: Cross multiply
   37,666x = 51,098 × 51,098
4. Step 4: Simplify right side
   37,666x = 2,611,005,604
5. Step 5: Solve for x
   x = 2,611,005,604/37,666
6. Step 6: Final answer
   x = 69,319.96