Finding the Third Proportional to 30,114 and 46,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,114 : 46,816.50 = 46,816.50 : x
2. Step 2: Convert to fraction form
   30,114/46,816.50 = 46,816.50/x
3. Step 3: Cross multiply
   30,114x = 46,816.50 × 46,816.50
4. Step 4: Simplify right side
   30,114x = 2,191,784,672.25
5. Step 5: Solve for x
   x = 2,191,784,672.25/30,114
6. Step 6: Final answer
   x = 72,782.91