Finding the Third Proportional to 31,680.38 and 47,426.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680.38 : 47,426.63 = 47,426.63 : x
2. Step 2: Convert to fraction form
   31,680.38/47,426.63 = 47,426.63/x
3. Step 3: Cross multiply
   31,680.38x = 47,426.63 × 47,426.63
4. Step 4: Simplify right side
   31,680.38x = 2,249,284,758.89
5. Step 5: Solve for x
   x = 2,249,284,758.89/31,680.38
6. Step 6: Final answer
   x = 70,999.31