Finding the Third Proportional to 23,301 and 35,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,301 : 35,734.50 = 35,734.50 : x
2. Step 2: Convert to fraction form
   23,301/35,734.50 = 35,734.50/x
3. Step 3: Cross multiply
   23,301x = 35,734.50 × 35,734.50
4. Step 4: Simplify right side
   23,301x = 1,276,954,490.25
5. Step 5: Solve for x
   x = 1,276,954,490.25/23,301
6. Step 6: Final answer
   x = 54,802.56