Finding the Third Proportional to 36,513.50 and 55,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,513.50 : 55,164.50 = 55,164.50 : x
2. Step 2: Convert to fraction form
   36,513.50/55,164.50 = 55,164.50/x
3. Step 3: Cross multiply
   36,513.50x = 55,164.50 × 55,164.50
4. Step 4: Simplify right side
   36,513.50x = 3,043,122,060.25
5. Step 5: Solve for x
   x = 3,043,122,060.25/36,513.50
6. Step 6: Final answer
   x = 83,342.38