Finding the Third Proportional to 27,771 and 42,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,771 : 42,346.50 = 42,346.50 : x
2. Step 2: Convert to fraction form
   27,771/42,346.50 = 42,346.50/x
3. Step 3: Cross multiply
   27,771x = 42,346.50 × 42,346.50
4. Step 4: Simplify right side
   27,771x = 1,793,226,062.25
5. Step 5: Solve for x
   x = 1,793,226,062.25/27,771
6. Step 6: Final answer
   x = 64,571.89