Finding the Third Proportional to 39,424 and 59,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,424 : 59,546.50 = 59,546.50 : x
2. Step 2: Convert to fraction form
   39,424/59,546.50 = 59,546.50/x
3. Step 3: Cross multiply
   39,424x = 59,546.50 × 59,546.50
4. Step 4: Simplify right side
   39,424x = 3,545,785,662.25
5. Step 5: Solve for x
   x = 3,545,785,662.25/39,424
6. Step 6: Final answer
   x = 89,939.77