Finding the Third Proportional to 47,008 and 83,552

Step by Step Solution

1. Step 1: Write the proportion equation
   47,008 : 83,552 = 83,552 : x
2. Step 2: Convert to fraction form
   47,008/83,552 = 83,552/x
3. Step 3: Cross multiply
   47,008x = 83,552 × 83,552
4. Step 4: Simplify right side
   47,008x = 6,980,936,704
5. Step 5: Solve for x
   x = 6,980,936,704/47,008
6. Step 6: Final answer
   x = 148,505.29