Finding the Third Proportional to 27,180.50 and 38,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,180.50 : 38,276.50 = 38,276.50 : x
2. Step 2: Convert to fraction form
   27,180.50/38,276.50 = 38,276.50/x
3. Step 3: Cross multiply
   27,180.50x = 38,276.50 × 38,276.50
4. Step 4: Simplify right side
   27,180.50x = 1,465,090,452.25
5. Step 5: Solve for x
   x = 1,465,090,452.25/27,180.50
6. Step 6: Final answer
   x = 53,902.26