Finding the Third Proportional to 35,181 and 51,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,181 : 51,448.50 = 51,448.50 : x
2. Step 2: Convert to fraction form
   35,181/51,448.50 = 51,448.50/x
3. Step 3: Cross multiply
   35,181x = 51,448.50 × 51,448.50
4. Step 4: Simplify right side
   35,181x = 2,646,948,152.25
5. Step 5: Solve for x
   x = 2,646,948,152.25/35,181
6. Step 6: Final answer
   x = 75,238.00