Finding the Third Proportional to 37,600 and 69,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,600 : 69,632 = 69,632 : x
2. Step 2: Convert to fraction form
   37,600/69,632 = 69,632/x
3. Step 3: Cross multiply
   37,600x = 69,632 × 69,632
4. Step 4: Simplify right side
   37,600x = 4,848,615,424
5. Step 5: Solve for x
   x = 4,848,615,424/37,600
6. Step 6: Final answer
   x = 128,952.54