Finding the Third Proportional to 37,680.19 and 51,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680.19 : 51,171.75 = 51,171.75 : x
2. Step 2: Convert to fraction form
   37,680.19/51,171.75 = 51,171.75/x
3. Step 3: Cross multiply
   37,680.19x = 51,171.75 × 51,171.75
4. Step 4: Simplify right side
   37,680.19x = 2,618,547,998.06
5. Step 5: Solve for x
   x = 2,618,547,998.06/37,680.19
6. Step 6: Final answer
   x = 69,494.03