Finding the Third Proportional to 37,932 and 83,120.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932 : 83,120.25 = 83,120.25 : x
2. Step 2: Convert to fraction form
   37,932/83,120.25 = 83,120.25/x
3. Step 3: Cross multiply
   37,932x = 83,120.25 × 83,120.25
4. Step 4: Simplify right side
   37,932x = 6,908,975,960.06
5. Step 5: Solve for x
   x = 6,908,975,960.06/37,932
6. Step 6: Final answer
   x = 182,141.09