Finding the Third Proportional to 38,393 and 59,229

Step by Step Solution

1. Step 1: Write the proportion equation
   38,393 : 59,229 = 59,229 : x
2. Step 2: Convert to fraction form
   38,393/59,229 = 59,229/x
3. Step 3: Cross multiply
   38,393x = 59,229 × 59,229
4. Step 4: Simplify right side
   38,393x = 3,508,074,441
5. Step 5: Solve for x
   x = 3,508,074,441/38,393
6. Step 6: Final answer
   x = 91,372.76