Finding the Third Proportional to 9,966 and 23,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966 : 23,492.50 = 23,492.50 : x
2. Step 2: Convert to fraction form
   9,966/23,492.50 = 23,492.50/x
3. Step 3: Cross multiply
   9,966x = 23,492.50 × 23,492.50
4. Step 4: Simplify right side
   9,966x = 551,897,556.25
5. Step 5: Solve for x
   x = 551,897,556.25/9,966
6. Step 6: Final answer
   x = 55,378.04