Finding the Third Proportional to 30,789 and 47,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,789 : 47,767.50 = 47,767.50 : x
2. Step 2: Convert to fraction form
   30,789/47,767.50 = 47,767.50/x
3. Step 3: Cross multiply
   30,789x = 47,767.50 × 47,767.50
4. Step 4: Simplify right side
   30,789x = 2,281,734,056.25
5. Step 5: Solve for x
   x = 2,281,734,056.25/30,789
6. Step 6: Final answer
   x = 74,108.74