Finding the Third Proportional to 40,213 and 52,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,213 : 52,543.50 = 52,543.50 : x
2. Step 2: Convert to fraction form
   40,213/52,543.50 = 52,543.50/x
3. Step 3: Cross multiply
   40,213x = 52,543.50 × 52,543.50
4. Step 4: Simplify right side
   40,213x = 2,760,819,392.25
5. Step 5: Solve for x
   x = 2,760,819,392.25/40,213
6. Step 6: Final answer
   x = 68,654.90