Finding the Third Proportional to 45,541 and 69,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,541 : 69,693.50 = 69,693.50 : x
2. Step 2: Convert to fraction form
   45,541/69,693.50 = 69,693.50/x
3. Step 3: Cross multiply
   45,541x = 69,693.50 × 69,693.50
4. Step 4: Simplify right side
   45,541x = 4,857,183,942.25
5. Step 5: Solve for x
   x = 4,857,183,942.25/45,541
6. Step 6: Final answer
   x = 106,655.19