Finding the Third Proportional to 35,896 and 51,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,896 : 51,382.50 = 51,382.50 : x
2. Step 2: Convert to fraction form
   35,896/51,382.50 = 51,382.50/x
3. Step 3: Cross multiply
   35,896x = 51,382.50 × 51,382.50
4. Step 4: Simplify right side
   35,896x = 2,640,161,306.25
5. Step 5: Solve for x
   x = 2,640,161,306.25/35,896
6. Step 6: Final answer
   x = 73,550.29