Finding the Third Proportional to 31,610 and 64,129

Step by Step Solution

1. Step 1: Write the proportion equation
   31,610 : 64,129 = 64,129 : x
2. Step 2: Convert to fraction form
   31,610/64,129 = 64,129/x
3. Step 3: Cross multiply
   31,610x = 64,129 × 64,129
4. Step 4: Simplify right side
   31,610x = 4,112,528,641
5. Step 5: Solve for x
   x = 4,112,528,641/31,610
6. Step 6: Final answer
   x = 130,102.14