Finding the Third Proportional to 32,501 and 70,333

Step by Step Solution

1. Step 1: Write the proportion equation
   32,501 : 70,333 = 70,333 : x
2. Step 2: Convert to fraction form
   32,501/70,333 = 70,333/x
3. Step 3: Cross multiply
   32,501x = 70,333 × 70,333
4. Step 4: Simplify right side
   32,501x = 4,946,730,889
5. Step 5: Solve for x
   x = 4,946,730,889/32,501
6. Step 6: Final answer
   x = 152,202.42