Finding the Third Proportional to 30,762 and 47,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762 : 47,158.50 = 47,158.50 : x
2. Step 2: Convert to fraction form
   30,762/47,158.50 = 47,158.50/x
3. Step 3: Cross multiply
   30,762x = 47,158.50 × 47,158.50
4. Step 4: Simplify right side
   30,762x = 2,223,924,122.25
5. Step 5: Solve for x
   x = 2,223,924,122.25/30,762
6. Step 6: Final answer
   x = 72,294.52