Finding the Third Proportional to 31,484 and 69,178

Step by Step Solution

1. Step 1: Write the proportion equation
   31,484 : 69,178 = 69,178 : x
2. Step 2: Convert to fraction form
   31,484/69,178 = 69,178/x
3. Step 3: Cross multiply
   31,484x = 69,178 × 69,178
4. Step 4: Simplify right side
   31,484x = 4,785,595,684
5. Step 5: Solve for x
   x = 4,785,595,684/31,484
6. Step 6: Final answer
   x = 152,000.88