Finding the Third Proportional to 35,538.75 and 53,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 53,581.50 = 53,581.50 : x
2. Step 2: Convert to fraction form
   35,538.75/53,581.50 = 53,581.50/x
3. Step 3: Cross multiply
   35,538.75x = 53,581.50 × 53,581.50
4. Step 4: Simplify right side
   35,538.75x = 2,870,977,142.25
5. Step 5: Solve for x
   x = 2,870,977,142.25/35,538.75
6. Step 6: Final answer
   x = 80,784.42