Finding the Third Proportional to 36,558 and 53,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,558 : 53,536.50 = 53,536.50 : x
2. Step 2: Convert to fraction form
   36,558/53,536.50 = 53,536.50/x
3. Step 3: Cross multiply
   36,558x = 53,536.50 × 53,536.50
4. Step 4: Simplify right side
   36,558x = 2,866,156,832.25
5. Step 5: Solve for x
   x = 2,866,156,832.25/36,558
6. Step 6: Final answer
   x = 78,400.26