Finding the Third Proportional to 38,092 and 58,614

Step by Step Solution

1. Step 1: Write the proportion equation
   38,092 : 58,614 = 58,614 : x
2. Step 2: Convert to fraction form
   38,092/58,614 = 58,614/x
3. Step 3: Cross multiply
   38,092x = 58,614 × 58,614
4. Step 4: Simplify right side
   38,092x = 3,435,600,996
5. Step 5: Solve for x
   x = 3,435,600,996/38,092
6. Step 6: Final answer
   x = 90,192.19