Finding the Third Proportional to 38,912 and 56,300

Step by Step Solution

1. Step 1: Write the proportion equation
   38,912 : 56,300 = 56,300 : x
2. Step 2: Convert to fraction form
   38,912/56,300 = 56,300/x
3. Step 3: Cross multiply
   38,912x = 56,300 × 56,300
4. Step 4: Simplify right side
   38,912x = 3,169,690,000
5. Step 5: Solve for x
   x = 3,169,690,000/38,912
6. Step 6: Final answer
   x = 81,457.91