Finding the Third Proportional to 31,829.63 and 70,014.94

Step by Step Solution

1. Step 1: Write the proportion equation
   31,829.63 : 70,014.94 = 70,014.94 : x
2. Step 2: Convert to fraction form
   31,829.63/70,014.94 = 70,014.94/x
3. Step 3: Cross multiply
   31,829.63x = 70,014.94 × 70,014.94
4. Step 4: Simplify right side
   31,829.63x = 4,902,091,473.13
5. Step 5: Solve for x
   x = 4,902,091,473.13/31,829.63
6. Step 6: Final answer
   x = 154,010.34