Finding the Third Proportional to 32,238 and 70,010

Step by Step Solution

1. Step 1: Write the proportion equation
   32,238 : 70,010 = 70,010 : x
2. Step 2: Convert to fraction form
   32,238/70,010 = 70,010/x
3. Step 3: Cross multiply
   32,238x = 70,010 × 70,010
4. Step 4: Simplify right side
   32,238x = 4,901,400,100
5. Step 5: Solve for x
   x = 4,901,400,100/32,238
6. Step 6: Final answer
   x = 152,037.97