Finding the Third Proportional to 31,310 and 42,645

Step by Step Solution

1. Step 1: Write the proportion equation
   31,310 : 42,645 = 42,645 : x
2. Step 2: Convert to fraction form
   31,310/42,645 = 42,645/x
3. Step 3: Cross multiply
   31,310x = 42,645 × 42,645
4. Step 4: Simplify right side
   31,310x = 1,818,596,025
5. Step 5: Solve for x
   x = 1,818,596,025/31,310
6. Step 6: Final answer
   x = 58,083.55