Finding the Third Proportional to 23,045 and 35,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,045 : 35,647.50 = 35,647.50 : x
2. Step 2: Convert to fraction form
   23,045/35,647.50 = 35,647.50/x
3. Step 3: Cross multiply
   23,045x = 35,647.50 × 35,647.50
4. Step 4: Simplify right side
   23,045x = 1,270,744,256.25
5. Step 5: Solve for x
   x = 1,270,744,256.25/23,045
6. Step 6: Final answer
   x = 55,141.86