Finding the Third Proportional to 31,402 and 67,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,402 : 67,353.50 = 67,353.50 : x
2. Step 2: Convert to fraction form
   31,402/67,353.50 = 67,353.50/x
3. Step 3: Cross multiply
   31,402x = 67,353.50 × 67,353.50
4. Step 4: Simplify right side
   31,402x = 4,536,493,962.25
5. Step 5: Solve for x
   x = 4,536,493,962.25/31,402
6. Step 6: Final answer
   x = 144,465.13