Finding the Third Proportional to 17,535 and 37,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,535 : 37,558.50 = 37,558.50 : x
2. Step 2: Convert to fraction form
   17,535/37,558.50 = 37,558.50/x
3. Step 3: Cross multiply
   17,535x = 37,558.50 × 37,558.50
4. Step 4: Simplify right side
   17,535x = 1,410,640,922.25
5. Step 5: Solve for x
   x = 1,410,640,922.25/17,535
6. Step 6: Final answer
   x = 80,447.16