Finding the Third Proportional to 34,143 and 74,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,143 : 74,512.50 = 74,512.50 : x
2. Step 2: Convert to fraction form
   34,143/74,512.50 = 74,512.50/x
3. Step 3: Cross multiply
   34,143x = 74,512.50 × 74,512.50
4. Step 4: Simplify right side
   34,143x = 5,552,112,656.25
5. Step 5: Solve for x
   x = 5,552,112,656.25/34,143
6. Step 6: Final answer
   x = 162,613.50