Finding the Third Proportional to 31,799 and 69,061

Step by Step Solution

1. Step 1: Write the proportion equation
   31,799 : 69,061 = 69,061 : x
2. Step 2: Convert to fraction form
   31,799/69,061 = 69,061/x
3. Step 3: Cross multiply
   31,799x = 69,061 × 69,061
4. Step 4: Simplify right side
   31,799x = 4,769,421,721
5. Step 5: Solve for x
   x = 4,769,421,721/31,799
6. Step 6: Final answer
   x = 149,986.53