Finding the Third Proportional to 37,730.25 and 87,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730.25 : 87,261.75 = 87,261.75 : x
2. Step 2: Convert to fraction form
   37,730.25/87,261.75 = 87,261.75/x
3. Step 3: Cross multiply
   37,730.25x = 87,261.75 × 87,261.75
4. Step 4: Simplify right side
   37,730.25x = 7,614,613,013.06
5. Step 5: Solve for x
   x = 7,614,613,013.06/37,730.25
6. Step 6: Final answer
   x = 201,817.19