Finding the Third Proportional to 10,000 and 17,780

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 17,780 = 17,780 : x
2. Step 2: Convert to fraction form
   10,000/17,780 = 17,780/x
3. Step 3: Cross multiply
   10,000x = 17,780 × 17,780
4. Step 4: Simplify right side
   10,000x = 316,128,400
5. Step 5: Solve for x
   x = 316,128,400/10,000
6. Step 6: Final answer
   x = 31,612.84