Finding the Third Proportional to 31,566.38 and 64,013.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,566.38 : 64,013.63 = 64,013.63 : x
2. Step 2: Convert to fraction form
   31,566.38/64,013.63 = 64,013.63/x
3. Step 3: Cross multiply
   31,566.38x = 64,013.63 × 64,013.63
4. Step 4: Simplify right side
   31,566.38x = 4,097,744,185.64
5. Step 5: Solve for x
   x = 4,097,744,185.64/31,566.38
6. Step 6: Final answer
   x = 129,813.58