Finding the Third Proportional to 31,490 and 47,154

Step by Step Solution

1. Step 1: Write the proportion equation
   31,490 : 47,154 = 47,154 : x
2. Step 2: Convert to fraction form
   31,490/47,154 = 47,154/x
3. Step 3: Cross multiply
   31,490x = 47,154 × 47,154
4. Step 4: Simplify right side
   31,490x = 2,223,499,716
5. Step 5: Solve for x
   x = 2,223,499,716/31,490
6. Step 6: Final answer
   x = 70,609.71