Finding the Third Proportional to 14,688 and 31,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 31,495.50 = 31,495.50 : x
2. Step 2: Convert to fraction form
   14,688/31,495.50 = 31,495.50/x
3. Step 3: Cross multiply
   14,688x = 31,495.50 × 31,495.50
4. Step 4: Simplify right side
   14,688x = 991,966,520.25
5. Step 5: Solve for x
   x = 991,966,520.25/14,688
6. Step 6: Final answer
   x = 67,535.85