Finding the Third Proportional to 31,925 and 64,762

Step by Step Solution

1. Step 1: Write the proportion equation
   31,925 : 64,762 = 64,762 : x
2. Step 2: Convert to fraction form
   31,925/64,762 = 64,762/x
3. Step 3: Cross multiply
   31,925x = 64,762 × 64,762
4. Step 4: Simplify right side
   31,925x = 4,194,116,644
5. Step 5: Solve for x
   x = 4,194,116,644/31,925
6. Step 6: Final answer
   x = 131,374.05