Finding the Third Proportional to 30,075 and 45,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,075 : 45,820.50 = 45,820.50 : x
2. Step 2: Convert to fraction form
   30,075/45,820.50 = 45,820.50/x
3. Step 3: Cross multiply
   30,075x = 45,820.50 × 45,820.50
4. Step 4: Simplify right side
   30,075x = 2,099,518,220.25
5. Step 5: Solve for x
   x = 2,099,518,220.25/30,075
6. Step 6: Final answer
   x = 69,809.42