Finding the Third Proportional to 45,824 and 70,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,824 : 70,952.50 = 70,952.50 : x
2. Step 2: Convert to fraction form
   45,824/70,952.50 = 70,952.50/x
3. Step 3: Cross multiply
   45,824x = 70,952.50 × 70,952.50
4. Step 4: Simplify right side
   45,824x = 5,034,257,256.25
5. Step 5: Solve for x
   x = 5,034,257,256.25/45,824
6. Step 6: Final answer
   x = 109,860.71