Finding the Third Proportional to 38,106 and 59,340

Step by Step Solution

1. Step 1: Write the proportion equation
   38,106 : 59,340 = 59,340 : x
2. Step 2: Convert to fraction form
   38,106/59,340 = 59,340/x
3. Step 3: Cross multiply
   38,106x = 59,340 × 59,340
4. Step 4: Simplify right side
   38,106x = 3,521,235,600
5. Step 5: Solve for x
   x = 3,521,235,600/38,106
6. Step 6: Final answer
   x = 92,406.33