Finding the Third Proportional to 38,320 and 59,261

Step by Step Solution

1. Step 1: Write the proportion equation
   38,320 : 59,261 = 59,261 : x
2. Step 2: Convert to fraction form
   38,320/59,261 = 59,261/x
3. Step 3: Cross multiply
   38,320x = 59,261 × 59,261
4. Step 4: Simplify right side
   38,320x = 3,511,866,121
5. Step 5: Solve for x
   x = 3,511,866,121/38,320
6. Step 6: Final answer
   x = 91,645.78