Finding the Third Proportional to 32,820.75 and 72,023.63

Step by Step Solution

1. Step 1: Write the proportion equation
   32,820.75 : 72,023.63 = 72,023.63 : x
2. Step 2: Convert to fraction form
   32,820.75/72,023.63 = 72,023.63/x
3. Step 3: Cross multiply
   32,820.75x = 72,023.63 × 72,023.63
4. Step 4: Simplify right side
   32,820.75x = 5,187,402,558.14
5. Step 5: Solve for x
   x = 5,187,402,558.14/32,820.75
6. Step 6: Final answer
   x = 158,052.53