Finding the Third Proportional to 32,506 and 70,566

Step by Step Solution

1. Step 1: Write the proportion equation
   32,506 : 70,566 = 70,566 : x
2. Step 2: Convert to fraction form
   32,506/70,566 = 70,566/x
3. Step 3: Cross multiply
   32,506x = 70,566 × 70,566
4. Step 4: Simplify right side
   32,506x = 4,979,560,356
5. Step 5: Solve for x
   x = 4,979,560,356/32,506
6. Step 6: Final answer
   x = 153,188.96