Finding the Third Proportional to 31,710 and 45,297

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 45,297 = 45,297 : x
2. Step 2: Convert to fraction form
   31,710/45,297 = 45,297/x
3. Step 3: Cross multiply
   31,710x = 45,297 × 45,297
4. Step 4: Simplify right side
   31,710x = 2,051,818,209
5. Step 5: Solve for x
   x = 2,051,818,209/31,710
6. Step 6: Final answer
   x = 64,705.71