Finding the Third Proportional to 38,142 and 58,347

Step by Step Solution

1. Step 1: Write the proportion equation
   38,142 : 58,347 = 58,347 : x
2. Step 2: Convert to fraction form
   38,142/58,347 = 58,347/x
3. Step 3: Cross multiply
   38,142x = 58,347 × 58,347
4. Step 4: Simplify right side
   38,142x = 3,404,372,409
5. Step 5: Solve for x
   x = 3,404,372,409/38,142
6. Step 6: Final answer
   x = 89,255.21