Finding the Third Proportional to 12,632.63 and 29,766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,632.63 : 29,766.38 = 29,766.38 : x
2. Step 2: Convert to fraction form
   12,632.63/29,766.38 = 29,766.38/x
3. Step 3: Cross multiply
   12,632.63x = 29,766.38 × 29,766.38
4. Step 4: Simplify right side
   12,632.63x = 886,037,080.64
5. Step 5: Solve for x
   x = 886,037,080.64/12,632.63
6. Step 6: Final answer
   x = 70,138.79