Finding the Third Proportional to 31,828.50 and 69,777

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828.50 : 69,777 = 69,777 : x
2. Step 2: Convert to fraction form
   31,828.50/69,777 = 69,777/x
3. Step 3: Cross multiply
   31,828.50x = 69,777 × 69,777
4. Step 4: Simplify right side
   31,828.50x = 4,868,829,729
5. Step 5: Solve for x
   x = 4,868,829,729/31,828.50
6. Step 6: Final answer
   x = 152,970.76