Finding the Third Proportional to 38,780 and 59,690

Step by Step Solution

1. Step 1: Write the proportion equation
   38,780 : 59,690 = 59,690 : x
2. Step 2: Convert to fraction form
   38,780/59,690 = 59,690/x
3. Step 3: Cross multiply
   38,780x = 59,690 × 59,690
4. Step 4: Simplify right side
   38,780x = 3,562,896,100
5. Step 5: Solve for x
   x = 3,562,896,100/38,780
6. Step 6: Final answer
   x = 91,874.58