Finding the Third Proportional to 32,031 and 47,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,031 : 47,784.50 = 47,784.50 : x
2. Step 2: Convert to fraction form
   32,031/47,784.50 = 47,784.50/x
3. Step 3: Cross multiply
   32,031x = 47,784.50 × 47,784.50
4. Step 4: Simplify right side
   32,031x = 2,283,358,440.25
5. Step 5: Solve for x
   x = 2,283,358,440.25/32,031
6. Step 6: Final answer
   x = 71,285.89