Finding the Third Proportional to 14,680 and 32,140

Step by Step Solution

1. Step 1: Write the proportion equation
   14,680 : 32,140 = 32,140 : x
2. Step 2: Convert to fraction form
   14,680/32,140 = 32,140/x
3. Step 3: Cross multiply
   14,680x = 32,140 × 32,140
4. Step 4: Simplify right side
   14,680x = 1,032,979,600
5. Step 5: Solve for x
   x = 1,032,979,600/14,680
6. Step 6: Final answer
   x = 70,366.46