Finding the Third Proportional to 45,577.50 and 69,962.25

Step by Step Solution

1. Step 1: Write the proportion equation
   45,577.50 : 69,962.25 = 69,962.25 : x
2. Step 2: Convert to fraction form
   45,577.50/69,962.25 = 69,962.25/x
3. Step 3: Cross multiply
   45,577.50x = 69,962.25 × 69,962.25
4. Step 4: Simplify right side
   45,577.50x = 4,894,716,425.06
5. Step 5: Solve for x
   x = 4,894,716,425.06/45,577.50
6. Step 6: Final answer
   x = 107,393.26