Finding the Third Proportional to 32,734.50 and 71,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,734.50 : 71,302.50 = 71,302.50 : x
2. Step 2: Convert to fraction form
   32,734.50/71,302.50 = 71,302.50/x
3. Step 3: Cross multiply
   32,734.50x = 71,302.50 × 71,302.50
4. Step 4: Simplify right side
   32,734.50x = 5,084,046,506.25
5. Step 5: Solve for x
   x = 5,084,046,506.25/32,734.50
6. Step 6: Final answer
   x = 155,311.57