Finding the Third Proportional to 37,837.76 and 51,409.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,837.76 : 51,409.69 = 51,409.69 : x
2. Step 2: Convert to fraction form
   37,837.76/51,409.69 = 51,409.69/x
3. Step 3: Cross multiply
   37,837.76x = 51,409.69 × 51,409.69
4. Step 4: Simplify right side
   37,837.76x = 2,642,955,968.85
5. Step 5: Solve for x
   x = 2,642,955,968.85/37,837.76
6. Step 6: Final answer
   x = 69,849.70