Finding the Third Proportional to 23,696 and 52,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,696 : 52,645.50 = 52,645.50 : x
2. Step 2: Convert to fraction form
   23,696/52,645.50 = 52,645.50/x
3. Step 3: Cross multiply
   23,696x = 52,645.50 × 52,645.50
4. Step 4: Simplify right side
   23,696x = 2,771,548,670.25
5. Step 5: Solve for x
   x = 2,771,548,670.25/23,696
6. Step 6: Final answer
   x = 116,962.72