Finding the Third Proportional to 36,877.50 and 55,352.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,877.50 : 55,352.25 = 55,352.25 : x
2. Step 2: Convert to fraction form
   36,877.50/55,352.25 = 55,352.25/x
3. Step 3: Cross multiply
   36,877.50x = 55,352.25 × 55,352.25
4. Step 4: Simplify right side
   36,877.50x = 3,063,871,580.06
5. Step 5: Solve for x
   x = 3,063,871,580.06/36,877.50
6. Step 6: Final answer
   x = 83,082.41