Finding the Third Proportional to 38,577 and 58,350

Step by Step Solution

1. Step 1: Write the proportion equation
   38,577 : 58,350 = 58,350 : x
2. Step 2: Convert to fraction form
   38,577/58,350 = 58,350/x
3. Step 3: Cross multiply
   38,577x = 58,350 × 58,350
4. Step 4: Simplify right side
   38,577x = 3,404,722,500
5. Step 5: Solve for x
   x = 3,404,722,500/38,577
6. Step 6: Final answer
   x = 88,257.83