Finding the Third Proportional to 31,365 and 75,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,365 : 75,859.50 = 75,859.50 : x
2. Step 2: Convert to fraction form
   31,365/75,859.50 = 75,859.50/x
3. Step 3: Cross multiply
   31,365x = 75,859.50 × 75,859.50
4. Step 4: Simplify right side
   31,365x = 5,754,663,740.25
5. Step 5: Solve for x
   x = 5,754,663,740.25/31,365
6. Step 6: Final answer
   x = 183,474.06