Finding the Third Proportional to 39,769.88 and 85,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   39,769.88 : 85,766.63 = 85,766.63 : x
2. Step 2: Convert to fraction form
   39,769.88/85,766.63 = 85,766.63/x
3. Step 3: Cross multiply
   39,769.88x = 85,766.63 × 85,766.63
4. Step 4: Simplify right side
   39,769.88x = 7,355,913,963.89
5. Step 5: Solve for x
   x = 7,355,913,963.89/39,769.88
6. Step 6: Final answer
   x = 184,961.96