Finding the Third Proportional to 31,770 and 69,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,770 : 69,763.50 = 69,763.50 : x
2. Step 2: Convert to fraction form
   31,770/69,763.50 = 69,763.50/x
3. Step 3: Cross multiply
   31,770x = 69,763.50 × 69,763.50
4. Step 4: Simplify right side
   31,770x = 4,866,945,932.25
5. Step 5: Solve for x
   x = 4,866,945,932.25/31,770
6. Step 6: Final answer
   x = 153,193.14