Finding the Third Proportional to 27,946 and 59,120

Step by Step Solution

1. Step 1: Write the proportion equation
   27,946 : 59,120 = 59,120 : x
2. Step 2: Convert to fraction form
   27,946/59,120 = 59,120/x
3. Step 3: Cross multiply
   27,946x = 59,120 × 59,120
4. Step 4: Simplify right side
   27,946x = 3,495,174,400
5. Step 5: Solve for x
   x = 3,495,174,400/27,946
6. Step 6: Final answer
   x = 125,068.86