Finding the Third Proportional to 31,407 and 68,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407 : 68,362.50 = 68,362.50 : x
2. Step 2: Convert to fraction form
   31,407/68,362.50 = 68,362.50/x
3. Step 3: Cross multiply
   31,407x = 68,362.50 × 68,362.50
4. Step 4: Simplify right side
   31,407x = 4,673,431,406.25
5. Step 5: Solve for x
   x = 4,673,431,406.25/31,407
6. Step 6: Final answer
   x = 148,802.22