Finding the Third Proportional to 38,508 and 59,152

Step by Step Solution

1. Step 1: Write the proportion equation
   38,508 : 59,152 = 59,152 : x
2. Step 2: Convert to fraction form
   38,508/59,152 = 59,152/x
3. Step 3: Cross multiply
   38,508x = 59,152 × 59,152
4. Step 4: Simplify right side
   38,508x = 3,498,959,104
5. Step 5: Solve for x
   x = 3,498,959,104/38,508
6. Step 6: Final answer
   x = 90,863.17