Finding the Third Proportional to 37,973.25 and 83,261.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,973.25 : 83,261.25 = 83,261.25 : x
2. Step 2: Convert to fraction form
   37,973.25/83,261.25 = 83,261.25/x
3. Step 3: Cross multiply
   37,973.25x = 83,261.25 × 83,261.25
4. Step 4: Simplify right side
   37,973.25x = 6,932,435,751.56
5. Step 5: Solve for x
   x = 6,932,435,751.56/37,973.25
6. Step 6: Final answer
   x = 182,561.03