Finding the Third Proportional to 31,616 and 64,141

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 64,141 = 64,141 : x
2. Step 2: Convert to fraction form
   31,616/64,141 = 64,141/x
3. Step 3: Cross multiply
   31,616x = 64,141 × 64,141
4. Step 4: Simplify right side
   31,616x = 4,114,067,881
5. Step 5: Solve for x
   x = 4,114,067,881/31,616
6. Step 6: Final answer
   x = 130,126.13