Finding the Third Proportional to 39,840 and 55,835

Step by Step Solution

1. Step 1: Write the proportion equation
   39,840 : 55,835 = 55,835 : x
2. Step 2: Convert to fraction form
   39,840/55,835 = 55,835/x
3. Step 3: Cross multiply
   39,840x = 55,835 × 55,835
4. Step 4: Simplify right side
   39,840x = 3,117,547,225
5. Step 5: Solve for x
   x = 3,117,547,225/39,840
6. Step 6: Final answer
   x = 78,251.69