Finding the Third Proportional to 15,875 and 34,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,875 : 34,883.50 = 34,883.50 : x
2. Step 2: Convert to fraction form
   15,875/34,883.50 = 34,883.50/x
3. Step 3: Cross multiply
   15,875x = 34,883.50 × 34,883.50
4. Step 4: Simplify right side
   15,875x = 1,216,858,572.25
5. Step 5: Solve for x
   x = 1,216,858,572.25/15,875
6. Step 6: Final answer
   x = 76,652.51