Finding the Third Proportional to 32,961 and 72,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,961 : 72,478.50 = 72,478.50 : x
2. Step 2: Convert to fraction form
   32,961/72,478.50 = 72,478.50/x
3. Step 3: Cross multiply
   32,961x = 72,478.50 × 72,478.50
4. Step 4: Simplify right side
   32,961x = 5,253,132,962.25
5. Step 5: Solve for x
   x = 5,253,132,962.25/32,961
6. Step 6: Final answer
   x = 159,374.20