Finding the Third Proportional to 34,012.50 and 72,075

Step by Step Solution

1. Step 1: Write the proportion equation
   34,012.50 : 72,075 = 72,075 : x
2. Step 2: Convert to fraction form
   34,012.50/72,075 = 72,075/x
3. Step 3: Cross multiply
   34,012.50x = 72,075 × 72,075
4. Step 4: Simplify right side
   34,012.50x = 5,194,805,625
5. Step 5: Solve for x
   x = 5,194,805,625/34,012.50
6. Step 6: Final answer
   x = 152,732.25