Finding the Third Proportional to 37,765.50 and 88,203.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,765.50 : 88,203.75 = 88,203.75 : x
2. Step 2: Convert to fraction form
   37,765.50/88,203.75 = 88,203.75/x
3. Step 3: Cross multiply
   37,765.50x = 88,203.75 × 88,203.75
4. Step 4: Simplify right side
   37,765.50x = 7,779,901,514.06
5. Step 5: Solve for x
   x = 7,779,901,514.06/37,765.50
6. Step 6: Final answer
   x = 206,005.52