Finding the Third Proportional to 37,577 and 88,866

Step by Step Solution

1. Step 1: Write the proportion equation
   37,577 : 88,866 = 88,866 : x
2. Step 2: Convert to fraction form
   37,577/88,866 = 88,866/x
3. Step 3: Cross multiply
   37,577x = 88,866 × 88,866
4. Step 4: Simplify right side
   37,577x = 7,897,165,956
5. Step 5: Solve for x
   x = 7,897,165,956/37,577
6. Step 6: Final answer
   x = 210,159.56