Finding the Third Proportional to 31,456 and 42,746

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 42,746 = 42,746 : x
2. Step 2: Convert to fraction form
   31,456/42,746 = 42,746/x
3. Step 3: Cross multiply
   31,456x = 42,746 × 42,746
4. Step 4: Simplify right side
   31,456x = 1,827,220,516
5. Step 5: Solve for x
   x = 1,827,220,516/31,456
6. Step 6: Final answer
   x = 58,088.14