Finding the Third Proportional to 32,903 and 72,365

Step by Step Solution

1. Step 1: Write the proportion equation
   32,903 : 72,365 = 72,365 : x
2. Step 2: Convert to fraction form
   32,903/72,365 = 72,365/x
3. Step 3: Cross multiply
   32,903x = 72,365 × 72,365
4. Step 4: Simplify right side
   32,903x = 5,236,693,225
5. Step 5: Solve for x
   x = 5,236,693,225/32,903
6. Step 6: Final answer
   x = 159,155.49