Finding the Third Proportional to 32,886 and 72,019.13

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 72,019.13 = 72,019.13 : x
2. Step 2: Convert to fraction form
   32,886/72,019.13 = 72,019.13/x
3. Step 3: Cross multiply
   32,886x = 72,019.13 × 72,019.13
4. Step 4: Simplify right side
   32,886x = 5,186,754,365.77
5. Step 5: Solve for x
   x = 5,186,754,365.77/32,886
6. Step 6: Final answer
   x = 157,719.22