Finding the Third Proportional to 32,382 and 72,294.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,382 : 72,294.75 = 72,294.75 : x
2. Step 2: Convert to fraction form
   32,382/72,294.75 = 72,294.75/x
3. Step 3: Cross multiply
   32,382x = 72,294.75 × 72,294.75
4. Step 4: Simplify right side
   32,382x = 5,226,530,877.56
5. Step 5: Solve for x
   x = 5,226,530,877.56/32,382
6. Step 6: Final answer
   x = 161,402.35