Finding the Third Proportional to 36,675 and 55,363

Step by Step Solution

1. Step 1: Write the proportion equation
   36,675 : 55,363 = 55,363 : x
2. Step 2: Convert to fraction form
   36,675/55,363 = 55,363/x
3. Step 3: Cross multiply
   36,675x = 55,363 × 55,363
4. Step 4: Simplify right side
   36,675x = 3,065,061,769
5. Step 5: Solve for x
   x = 3,065,061,769/36,675
6. Step 6: Final answer
   x = 83,573.60