Finding the Third Proportional to 16,101 and 34,971.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,101 : 34,971.75 = 34,971.75 : x
2. Step 2: Convert to fraction form
   16,101/34,971.75 = 34,971.75/x
3. Step 3: Cross multiply
   16,101x = 34,971.75 × 34,971.75
4. Step 4: Simplify right side
   16,101x = 1,223,023,298.06
5. Step 5: Solve for x
   x = 1,223,023,298.06/16,101
6. Step 6: Final answer
   x = 75,959.46