Finding the Third Proportional to 5,677.50 and 10,113

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.50 : 10,113 = 10,113 : x
2. Step 2: Convert to fraction form
   5,677.50/10,113 = 10,113/x
3. Step 3: Cross multiply
   5,677.50x = 10,113 × 10,113
4. Step 4: Simplify right side
   5,677.50x = 102,272,769
5. Step 5: Solve for x
   x = 102,272,769/5,677.50
6. Step 6: Final answer
   x = 18,013.70