Finding the Third Proportional to 37,927.50 and 83,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,927.50 : 83,144.75 = 83,144.75 : x
2. Step 2: Convert to fraction form
   37,927.50/83,144.75 = 83,144.75/x
3. Step 3: Cross multiply
   37,927.50x = 83,144.75 × 83,144.75
4. Step 4: Simplify right side
   37,927.50x = 6,913,049,452.56
5. Step 5: Solve for x
   x = 6,913,049,452.56/37,927.50
6. Step 6: Final answer
   x = 182,270.11