Finding the Third Proportional to 23,086 and 53,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,086 : 53,948.50 = 53,948.50 : x
2. Step 2: Convert to fraction form
   23,086/53,948.50 = 53,948.50/x
3. Step 3: Cross multiply
   23,086x = 53,948.50 × 53,948.50
4. Step 4: Simplify right side
   23,086x = 2,910,440,652.25
5. Step 5: Solve for x
   x = 2,910,440,652.25/23,086
6. Step 6: Final answer
   x = 126,069.51