Finding the Third Proportional to 32,501 and 69,839

Step by Step Solution

1. Step 1: Write the proportion equation
   32,501 : 69,839 = 69,839 : x
2. Step 2: Convert to fraction form
   32,501/69,839 = 69,839/x
3. Step 3: Cross multiply
   32,501x = 69,839 × 69,839
4. Step 4: Simplify right side
   32,501x = 4,877,485,921
5. Step 5: Solve for x
   x = 4,877,485,921/32,501
6. Step 6: Final answer
   x = 150,071.87