Finding the Third Proportional to 30,861 and 46,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,861 : 46,516.50 = 46,516.50 : x
2. Step 2: Convert to fraction form
   30,861/46,516.50 = 46,516.50/x
3. Step 3: Cross multiply
   30,861x = 46,516.50 × 46,516.50
4. Step 4: Simplify right side
   30,861x = 2,163,784,772.25
5. Step 5: Solve for x
   x = 2,163,784,772.25/30,861
6. Step 6: Final answer
   x = 70,113.89