Finding the Third Proportional to 23,101 and 35,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,101 : 35,137.50 = 35,137.50 : x
2. Step 2: Convert to fraction form
   23,101/35,137.50 = 35,137.50/x
3. Step 3: Cross multiply
   23,101x = 35,137.50 × 35,137.50
4. Step 4: Simplify right side
   23,101x = 1,234,643,906.25
5. Step 5: Solve for x
   x = 1,234,643,906.25/23,101
6. Step 6: Final answer
   x = 53,445.47