Finding the Third Proportional to 23,840 and 45,516

Step by Step Solution

1. Step 1: Write the proportion equation
   23,840 : 45,516 = 45,516 : x
2. Step 2: Convert to fraction form
   23,840/45,516 = 45,516/x
3. Step 3: Cross multiply
   23,840x = 45,516 × 45,516
4. Step 4: Simplify right side
   23,840x = 2,071,706,256
5. Step 5: Solve for x
   x = 2,071,706,256/23,840
6. Step 6: Final answer
   x = 86,900.43