Finding the Third Proportional to 31,776 and 69,776

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 69,776 = 69,776 : x
2. Step 2: Convert to fraction form
   31,776/69,776 = 69,776/x
3. Step 3: Cross multiply
   31,776x = 69,776 × 69,776
4. Step 4: Simplify right side
   31,776x = 4,868,690,176
5. Step 5: Solve for x
   x = 4,868,690,176/31,776
6. Step 6: Final answer
   x = 153,219.10