Finding the Third Proportional to 38,405 and 59,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,405 : 59,605.50 = 59,605.50 : x
2. Step 2: Convert to fraction form
   38,405/59,605.50 = 59,605.50/x
3. Step 3: Cross multiply
   38,405x = 59,605.50 × 59,605.50
4. Step 4: Simplify right side
   38,405x = 3,552,815,630.25
5. Step 5: Solve for x
   x = 3,552,815,630.25/38,405
6. Step 6: Final answer
   x = 92,509.19