Finding the Third Proportional to 53,415 and 83,036.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,415 : 83,036.25 = 83,036.25 : x
2. Step 2: Convert to fraction form
   53,415/83,036.25 = 83,036.25/x
3. Step 3: Cross multiply
   53,415x = 83,036.25 × 83,036.25
4. Step 4: Simplify right side
   53,415x = 6,895,018,814.06
5. Step 5: Solve for x
   x = 6,895,018,814.06/53,415
6. Step 6: Final answer
   x = 129,083.94