Finding the Third Proportional to 7,834 and 17,113

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 17,113 = 17,113 : x
2. Step 2: Convert to fraction form
   7,834/17,113 = 17,113/x
3. Step 3: Cross multiply
   7,834x = 17,113 × 17,113
4. Step 4: Simplify right side
   7,834x = 292,854,769
5. Step 5: Solve for x
   x = 292,854,769/7,834
6. Step 6: Final answer
   x = 37,382.53