Finding the Third Proportional to 36,588.38 and 55,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,588.38 : 55,795.50 = 55,795.50 : x
2. Step 2: Convert to fraction form
   36,588.38/55,795.50 = 55,795.50/x
3. Step 3: Cross multiply
   36,588.38x = 55,795.50 × 55,795.50
4. Step 4: Simplify right side
   36,588.38x = 3,113,137,820.25
5. Step 5: Solve for x
   x = 3,113,137,820.25/36,588.38
6. Step 6: Final answer
   x = 85,085.44