Finding the Third Proportional to 31,419 and 69,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,419 : 69,637.50 = 69,637.50 : x
2. Step 2: Convert to fraction form
   31,419/69,637.50 = 69,637.50/x
3. Step 3: Cross multiply
   31,419x = 69,637.50 × 69,637.50
4. Step 4: Simplify right side
   31,419x = 4,849,381,406.25
5. Step 5: Solve for x
   x = 4,849,381,406.25/31,419
6. Step 6: Final answer
   x = 154,345.50