Finding the Third Proportional to 34,542 and 71,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,542 : 71,680.50 = 71,680.50 : x
2. Step 2: Convert to fraction form
   34,542/71,680.50 = 71,680.50/x
3. Step 3: Cross multiply
   34,542x = 71,680.50 × 71,680.50
4. Step 4: Simplify right side
   34,542x = 5,138,094,080.25
5. Step 5: Solve for x
   x = 5,138,094,080.25/34,542
6. Step 6: Final answer
   x = 148,749.18