Finding the Third Proportional to 14,688 and 34,666.31

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 34,666.31 = 34,666.31 : x
2. Step 2: Convert to fraction form
   14,688/34,666.31 = 34,666.31/x
3. Step 3: Cross multiply
   14,688x = 34,666.31 × 34,666.31
4. Step 4: Simplify right side
   14,688x = 1,201,753,222.35
5. Step 5: Solve for x
   x = 1,201,753,222.35/14,688
6. Step 6: Final answer
   x = 81,818.71