Finding the Third Proportional to 32,038 and 70,312

Step by Step Solution

1. Step 1: Write the proportion equation
   32,038 : 70,312 = 70,312 : x
2. Step 2: Convert to fraction form
   32,038/70,312 = 70,312/x
3. Step 3: Cross multiply
   32,038x = 70,312 × 70,312
4. Step 4: Simplify right side
   32,038x = 4,943,777,344
5. Step 5: Solve for x
   x = 4,943,777,344/32,038
6. Step 6: Final answer
   x = 154,309.80