Finding the Third Proportional to 32,423 and 70,381

Step by Step Solution

1. Step 1: Write the proportion equation
   32,423 : 70,381 = 70,381 : x
2. Step 2: Convert to fraction form
   32,423/70,381 = 70,381/x
3. Step 3: Cross multiply
   32,423x = 70,381 × 70,381
4. Step 4: Simplify right side
   32,423x = 4,953,485,161
5. Step 5: Solve for x
   x = 4,953,485,161/32,423
6. Step 6: Final answer
   x = 152,776.89