Finding the Third Proportional to 38,762 and 58,142

Step by Step Solution

1. Step 1: Write the proportion equation
   38,762 : 58,142 = 58,142 : x
2. Step 2: Convert to fraction form
   38,762/58,142 = 58,142/x
3. Step 3: Cross multiply
   38,762x = 58,142 × 58,142
4. Step 4: Simplify right side
   38,762x = 3,380,492,164
5. Step 5: Solve for x
   x = 3,380,492,164/38,762
6. Step 6: Final answer
   x = 87,211.50