Finding the Third Proportional to 31,386 and 47,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,386 : 47,149.50 = 47,149.50 : x
2. Step 2: Convert to fraction form
   31,386/47,149.50 = 47,149.50/x
3. Step 3: Cross multiply
   31,386x = 47,149.50 × 47,149.50
4. Step 4: Simplify right side
   31,386x = 2,223,075,350.25
5. Step 5: Solve for x
   x = 2,223,075,350.25/31,386
6. Step 6: Final answer
   x = 70,830.16