Finding the Third Proportional to 36,433 and 53,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,433 : 53,417.50 = 53,417.50 : x
2. Step 2: Convert to fraction form
   36,433/53,417.50 = 53,417.50/x
3. Step 3: Cross multiply
   36,433x = 53,417.50 × 53,417.50
4. Step 4: Simplify right side
   36,433x = 2,853,429,306.25
5. Step 5: Solve for x
   x = 2,853,429,306.25/36,433
6. Step 6: Final answer
   x = 78,319.91