Finding the Third Proportional to 47,784.38 and 75,913.88

Step by Step Solution

1. Step 1: Write the proportion equation
   47,784.38 : 75,913.88 = 75,913.88 : x
2. Step 2: Convert to fraction form
   47,784.38/75,913.88 = 75,913.88/x
3. Step 3: Cross multiply
   47,784.38x = 75,913.88 × 75,913.88
4. Step 4: Simplify right side
   47,784.38x = 5,762,916,417.52
5. Step 5: Solve for x
   x = 5,762,916,417.52/47,784.38
6. Step 6: Final answer
   x = 120,602.53