Finding the Third Proportional to 27,135 and 32,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,135 : 32,980.50 = 32,980.50 : x
2. Step 2: Convert to fraction form
   27,135/32,980.50 = 32,980.50/x
3. Step 3: Cross multiply
   27,135x = 32,980.50 × 32,980.50
4. Step 4: Simplify right side
   27,135x = 1,087,713,380.25
5. Step 5: Solve for x
   x = 1,087,713,380.25/27,135
6. Step 6: Final answer
   x = 40,085.25