Finding the Third Proportional to 14,516 and 31,776

Step by Step Solution

1. Step 1: Write the proportion equation
   14,516 : 31,776 = 31,776 : x
2. Step 2: Convert to fraction form
   14,516/31,776 = 31,776/x
3. Step 3: Cross multiply
   14,516x = 31,776 × 31,776
4. Step 4: Simplify right side
   14,516x = 1,009,714,176
5. Step 5: Solve for x
   x = 1,009,714,176/14,516
6. Step 6: Final answer
   x = 69,558.71