Finding the Third Proportional to 37,844 and 51,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,844 : 51,419.50 = 51,419.50 : x
2. Step 2: Convert to fraction form
   37,844/51,419.50 = 51,419.50/x
3. Step 3: Cross multiply
   37,844x = 51,419.50 × 51,419.50
4. Step 4: Simplify right side
   37,844x = 2,643,964,980.25
5. Step 5: Solve for x
   x = 2,643,964,980.25/37,844
6. Step 6: Final answer
   x = 69,864.84