Finding the Third Proportional to 32,577 and 70,983

Step by Step Solution

1. Step 1: Write the proportion equation
   32,577 : 70,983 = 70,983 : x
2. Step 2: Convert to fraction form
   32,577/70,983 = 70,983/x
3. Step 3: Cross multiply
   32,577x = 70,983 × 70,983
4. Step 4: Simplify right side
   32,577x = 5,038,586,289
5. Step 5: Solve for x
   x = 5,038,586,289/32,577
6. Step 6: Final answer
   x = 154,666.98