Finding the Third Proportional to 38,561 and 58,328

Step by Step Solution

1. Step 1: Write the proportion equation
   38,561 : 58,328 = 58,328 : x
2. Step 2: Convert to fraction form
   38,561/58,328 = 58,328/x
3. Step 3: Cross multiply
   38,561x = 58,328 × 58,328
4. Step 4: Simplify right side
   38,561x = 3,402,155,584
5. Step 5: Solve for x
   x = 3,402,155,584/38,561
6. Step 6: Final answer
   x = 88,227.89