Finding the Third Proportional to 33,594 and 70,428

Step by Step Solution

1. Step 1: Write the proportion equation
   33,594 : 70,428 = 70,428 : x
2. Step 2: Convert to fraction form
   33,594/70,428 = 70,428/x
3. Step 3: Cross multiply
   33,594x = 70,428 × 70,428
4. Step 4: Simplify right side
   33,594x = 4,960,103,184
5. Step 5: Solve for x
   x = 4,960,103,184/33,594
6. Step 6: Final answer
   x = 147,648.48