Finding the Third Proportional to 31,312 and 69,536

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 69,536 = 69,536 : x
2. Step 2: Convert to fraction form
   31,312/69,536 = 69,536/x
3. Step 3: Cross multiply
   31,312x = 69,536 × 69,536
4. Step 4: Simplify right side
   31,312x = 4,835,255,296
5. Step 5: Solve for x
   x = 4,835,255,296/31,312
6. Step 6: Final answer
   x = 154,421.80