Finding the Third Proportional to 32,336 and 45,784

Step by Step Solution

1. Step 1: Write the proportion equation
   32,336 : 45,784 = 45,784 : x
2. Step 2: Convert to fraction form
   32,336/45,784 = 45,784/x
3. Step 3: Cross multiply
   32,336x = 45,784 × 45,784
4. Step 4: Simplify right side
   32,336x = 2,096,174,656
5. Step 5: Solve for x
   x = 2,096,174,656/32,336
6. Step 6: Final answer
   x = 64,824.80