Finding the Third Proportional to 31,730.63 and 67,834.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,730.63 : 67,834.13 = 67,834.13 : x
2. Step 2: Convert to fraction form
   31,730.63/67,834.13 = 67,834.13/x
3. Step 3: Cross multiply
   31,730.63x = 67,834.13 × 67,834.13
4. Step 4: Simplify right side
   31,730.63x = 4,601,468,514.52
5. Step 5: Solve for x
   x = 4,601,468,514.52/31,730.63
6. Step 6: Final answer
   x = 145,016.64