Finding the Third Proportional to 36,602 and 53,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,602 : 53,506.50 = 53,506.50 : x
2. Step 2: Convert to fraction form
   36,602/53,506.50 = 53,506.50/x
3. Step 3: Cross multiply
   36,602x = 53,506.50 × 53,506.50
4. Step 4: Simplify right side
   36,602x = 2,862,945,542.25
5. Step 5: Solve for x
   x = 2,862,945,542.25/36,602
6. Step 6: Final answer
   x = 78,218.28