Finding the Third Proportional to 10,076 and 21,776

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 21,776 = 21,776 : x
2. Step 2: Convert to fraction form
   10,076/21,776 = 21,776/x
3. Step 3: Cross multiply
   10,076x = 21,776 × 21,776
4. Step 4: Simplify right side
   10,076x = 474,194,176
5. Step 5: Solve for x
   x = 474,194,176/10,076
6. Step 6: Final answer
   x = 47,061.75