Finding the Third Proportional to 39,177 and 58,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,177 : 58,009.50 = 58,009.50 : x
2. Step 2: Convert to fraction form
   39,177/58,009.50 = 58,009.50/x
3. Step 3: Cross multiply
   39,177x = 58,009.50 × 58,009.50
4. Step 4: Simplify right side
   39,177x = 3,365,102,090.25
5. Step 5: Solve for x
   x = 3,365,102,090.25/39,177
6. Step 6: Final answer
   x = 85,894.84