Finding the Third Proportional to 38,456 and 58,406

Step by Step Solution

1. Step 1: Write the proportion equation
   38,456 : 58,406 = 58,406 : x
2. Step 2: Convert to fraction form
   38,456/58,406 = 58,406/x
3. Step 3: Cross multiply
   38,456x = 58,406 × 58,406
4. Step 4: Simplify right side
   38,456x = 3,411,260,836
5. Step 5: Solve for x
   x = 3,411,260,836/38,456
6. Step 6: Final answer
   x = 88,705.56