Finding the Third Proportional to 7,776 and 10,113

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776 : 10,113 = 10,113 : x
2. Step 2: Convert to fraction form
   7,776/10,113 = 10,113/x
3. Step 3: Cross multiply
   7,776x = 10,113 × 10,113
4. Step 4: Simplify right side
   7,776x = 102,272,769
5. Step 5: Solve for x
   x = 102,272,769/7,776
6. Step 6: Final answer
   x = 13,152.36