Finding the Third Proportional to 38,157 and 59,153

Step by Step Solution

1. Step 1: Write the proportion equation
   38,157 : 59,153 = 59,153 : x
2. Step 2: Convert to fraction form
   38,157/59,153 = 59,153/x
3. Step 3: Cross multiply
   38,157x = 59,153 × 59,153
4. Step 4: Simplify right side
   38,157x = 3,499,077,409
5. Step 5: Solve for x
   x = 3,499,077,409/38,157
6. Step 6: Final answer
   x = 91,702.11