Finding the Third Proportional to 21,516 and 31,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,516 : 31,567.50 = 31,567.50 : x
2. Step 2: Convert to fraction form
   21,516/31,567.50 = 31,567.50/x
3. Step 3: Cross multiply
   21,516x = 31,567.50 × 31,567.50
4. Step 4: Simplify right side
   21,516x = 996,507,056.25
5. Step 5: Solve for x
   x = 996,507,056.25/21,516
6. Step 6: Final answer
   x = 46,314.70