Finding the Third Proportional to 14,688 and 31,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 31,549.50 = 31,549.50 : x
2. Step 2: Convert to fraction form
   14,688/31,549.50 = 31,549.50/x
3. Step 3: Cross multiply
   14,688x = 31,549.50 × 31,549.50
4. Step 4: Simplify right side
   14,688x = 995,370,950.25
5. Step 5: Solve for x
   x = 995,370,950.25/14,688
6. Step 6: Final answer
   x = 67,767.63