Finding the Third Proportional to 39,814 and 61,111

Step by Step Solution

1. Step 1: Write the proportion equation
   39,814 : 61,111 = 61,111 : x
2. Step 2: Convert to fraction form
   39,814/61,111 = 61,111/x
3. Step 3: Cross multiply
   39,814x = 61,111 × 61,111
4. Step 4: Simplify right side
   39,814x = 3,734,554,321
5. Step 5: Solve for x
   x = 3,734,554,321/39,814
6. Step 6: Final answer
   x = 93,800.03