Finding the Third Proportional to 37,963.69 and 75,826.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.69 : 75,826.13 = 75,826.13 : x
2. Step 2: Convert to fraction form
   37,963.69/75,826.13 = 75,826.13/x
3. Step 3: Cross multiply
   37,963.69x = 75,826.13 × 75,826.13
4. Step 4: Simplify right side
   37,963.69x = 5,749,601,232.52
5. Step 5: Solve for x
   x = 5,749,601,232.52/37,963.69
6. Step 6: Final answer
   x = 151,450.02