Finding the Third Proportional to 29,577.94 and 64,146.31

Step by Step Solution

1. Step 1: Write the proportion equation
   29,577.94 : 64,146.31 = 64,146.31 : x
2. Step 2: Convert to fraction form
   29,577.94/64,146.31 = 64,146.31/x
3. Step 3: Cross multiply
   29,577.94x = 64,146.31 × 64,146.31
4. Step 4: Simplify right side
   29,577.94x = 4,114,749,407.35
5. Step 5: Solve for x
   x = 4,114,749,407.35/29,577.94
6. Step 6: Final answer
   x = 139,115.49