Finding the Third Proportional to 39,741.89 and 85,577.77

Step by Step Solution

1. Step 1: Write the proportion equation
   39,741.89 : 85,577.77 = 85,577.77 : x
2. Step 2: Convert to fraction form
   39,741.89/85,577.77 = 85,577.77/x
3. Step 3: Cross multiply
   39,741.89x = 85,577.77 × 85,577.77
4. Step 4: Simplify right side
   39,741.89x = 7,323,553,969.37
5. Step 5: Solve for x
   x = 7,323,553,969.37/39,741.89
6. Step 6: Final answer
   x = 184,277.95