Finding the Third Proportional to 31,047 and 47,490

Step by Step Solution

1. Step 1: Write the proportion equation
   31,047 : 47,490 = 47,490 : x
2. Step 2: Convert to fraction form
   31,047/47,490 = 47,490/x
3. Step 3: Cross multiply
   31,047x = 47,490 × 47,490
4. Step 4: Simplify right side
   31,047x = 2,255,300,100
5. Step 5: Solve for x
   x = 2,255,300,100/31,047
6. Step 6: Final answer
   x = 72,641.48